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413354500 = 225313193347
BaseRepresentation
bin11000101000110…
…100101000000100
31001210210120202221
4120220310220010
51321304321000
6105003342124
713146312106
oct3050645004
91053716687
10413354500
111a2367399
12b6521944
1367838c80
143cc7d576
152645061a
hex18a34a04

413354500 has 96 divisors (see below), whose sum is σ = 1023684480. Its totient is φ = 144547200.

The previous prime is 413354453. The next prime is 413354509. The reversal of 413354500 is 5453314.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (413354509) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 121827 + ... + 125173.

It is an arithmetic number, because the mean of its divisors is an integer number (10663380).

Almost surely, 2413354500 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413354500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511842240).

413354500 is an abundant number, since it is smaller than the sum of its proper divisors (610329980).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

413354500 is a wasteful number, since it uses less digits than its factorization.

413354500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3398 (or 3386 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

The square root of 413354500 is about 20331.1214643954. The cubic root of 413354500 is about 744.9164358324.

The spelling of 413354500 in words is "four hundred thirteen million, three hundred fifty-four thousand, five hundred".

Divisors: 1 2 4 5 10 13 19 20 25 26 38 50 52 65 76 95 100 125 130 190 247 250 260 325 380 475 494 500 650 950 988 1235 1300 1625 1900 2375 2470 3250 3347 4750 4940 6175 6500 6694 9500 12350 13388 16735 24700 30875 33470 43511 61750 63593 66940 83675 87022 123500 127186 167350 174044 217555 254372 317965 334700 418375 435110 635930 826709 836750 870220 1087775 1271860 1589825 1653418 1673500 2175550 3179650 3306836 4133545 4351100 5438875 6359300 7949125 8267090 10877750 15898250 16534180 20667725 21755500 31796500 41335450 82670900 103338625 206677250 413354500