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413355460 = 225728310433
BaseRepresentation
bin11000101000110…
…100110111000100
31001210210122002111
4120220310313010
51321304333320
6105003350404
713146314650
oct3050646704
91053718074
10413355460
111a2368091
12b6522404
136783953b
143cc7da60
1526450a5a
hex18a34dc4

413355460 has 48 divisors (see below), whose sum is σ = 995654016. Its totient is φ = 141207552.

The previous prime is 413355451. The next prime is 413355461. The reversal of 413355460 is 64553314.

It is not an unprimeable number, because it can be changed into a prime (413355461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34404 + ... + 44836.

It is an arithmetic number, because the mean of its divisors is an integer number (20742792).

Almost surely, 2413355460 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 413355460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497827008).

413355460 is an abundant number, since it is smaller than the sum of its proper divisors (582298556).

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

413355460 is a wasteful number, since it uses less digits than its factorization.

413355460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10732 (or 10730 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 31.

The square root of 413355460 is about 20331.1450735073. The cubic root of 413355460 is about 744.9170125119.

The spelling of 413355460 in words is "four hundred thirteen million, three hundred fifty-five thousand, four hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 283 566 1132 1415 1981 2830 3962 5660 7924 9905 10433 19810 20866 39620 41732 52165 73031 104330 146062 208660 292124 365155 730310 1460620 2952539 5905078 11810156 14762695 20667773 29525390 41335546 59050780 82671092 103338865 206677730 413355460