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464455420 = 2251113251647
BaseRepresentation
bin11011101011110…
…000011011111100
31012100221210001121
4123223300123330
51422400033140
6114030520324
714336543302
oct3353603374
91170853047
10464455420
1121919a260
1210b6660a4
13752bb4c0
1445982272
152ab9664a
hex1baf06fc

464455420 has 96 divisors (see below), whose sum is σ = 1152216576. Its totient is φ = 155040000.

The previous prime is 464455367. The next prime is 464455429. The reversal of 464455420 is 24554464.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (464455429) 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, 717537 + ... + 718183.

It is an arithmetic number, because the mean of its divisors is an integer number (12002256).

Almost surely, 2464455420 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 464455420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576108288).

464455420 is an abundant number, since it is smaller than the sum of its proper divisors (687761156).

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

464455420 is a wasteful number, since it uses less digits than its factorization.

464455420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 931 (or 929 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 34.

The square root of 464455420 is about 21551.2278072503. The cubic root of 464455420 is about 774.4285318892.

The spelling of 464455420 in words is "four hundred sixty-four million, four hundred fifty-five thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 110 130 143 220 251 260 286 502 572 647 715 1004 1255 1294 1430 2510 2588 2761 2860 3235 3263 5020 5522 6470 6526 7117 8411 11044 12940 13052 13805 14234 16315 16822 27610 28468 32630 33644 35585 35893 42055 55220 65260 71170 71786 84110 92521 142340 143572 162397 168220 179465 185042 324794 358930 370084 462605 649588 717860 811985 925210 1623970 1786367 1850420 2111161 3247940 3572734 4222322 7145468 8444644 8931835 10555805 17863670 21111610 23222771 35727340 42223220 46445542 92891084 116113855 232227710 464455420