456402336 has 192 divisors, whose sum is σ = 1365590016. Its totient is φ = 132480000.

The previous prime is 456402299. The next prime is 456402337. The reversal of 456402336 is 633204654.

It is a junction number, because it is equal to n+sod(n) for n = 456402297 and 456402306.

It is not an unprimeable number, because it can be changed into a prime (456402337) 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, 1818211 + ... + 1818461.

It is an arithmetic number, because the mean of its divisors is an integer number (7112448).

Almost surely, 2^456402336 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 456402336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (682795008).

456402336 is an abundant number, since it is smaller than the sum of its proper divisors (909187680).

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

456402336 is a wasteful number, since it uses less digits than its factorization.

456402336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 33.

The square root of 456402336 is about 21363.5749817300. The cubic root of 456402336 is about 769.9265325981.

The spelling of 456402336 in words is "four hundred fifty-six million, four hundred two thousand, three hundred thirty-six".