456298404432 has 160 divisors (see below), whose sum is σ = 1291343765376. Its totient is φ = 137981491200.

The previous prime is 456298404391. The next prime is 456298404533. The reversal of 456298404432 is 234404892654.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52257507 + ... + 52266237.

Almost surely, 2^456298404432 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 456298404432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (645671882688).

456298404432 is an abundant number, since it is smaller than the sum of its proper divisors (835045360944).

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

456298404432 is a wasteful number, since it uses less digits than its factorization.

456298404432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10189 (or 10183 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 51.

The spelling of 456298404432 in words is "four hundred fifty-six billion, two hundred ninety-eight million, four hundred four thousand, four hundred thirty-two".