456779232 has 288 divisors, whose sum is σ = 1656607680. Its totient is φ = 116121600.

The previous prime is 456779221. The next prime is 456779243. The reversal of 456779232 is 232977654.

It is an interprime number because it is at equal distance from previous prime (456779221) and next prime (456779243).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 759732 + ... + 760332.

It is an arithmetic number, because the mean of its divisors is an integer number (5752110).

Almost surely, 2^456779232 is an apocalyptic number.

456779232 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 456779232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (828303840).

456779232 is an abundant number, since it is smaller than the sum of its proper divisors (1199828448).

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

456779232 is a wasteful number, since it uses less digits than its factorization.

456779232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 666 (or 655 counting only the distinct ones).

The product of its digits is 635040, while the sum is 45.

The square root of 456779232 is about 21372.3941569493. The cubic root of 456779232 is about 770.1384088068.

The spelling of 456779232 in words is "four hundred fifty-six million, seven hundred seventy-nine thousand, two hundred thirty-two".