456426432 has 336 divisors, whose sum is σ = 1677521664. Its totient is φ = 115200000.

The previous prime is 456426431. The next prime is 456426457. The reversal of 456426432 is 234624654.

456426432 is a `hidden beast` number, since 4 + 5 + 6 + 4 + 2 + 643 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456426431) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1818307 + ... + 1818557.

It is an arithmetic number, because the mean of its divisors is an integer number (4992624).

Almost surely, 2^456426432 is an apocalyptic number.

456426432 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 456426432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (838760832).

456426432 is an abundant number, since it is smaller than the sum of its proper divisors (1221095232).

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

456426432 is a wasteful number, since it uses less digits than its factorization.

456426432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 315 counting only the distinct ones).

The product of its digits is 138240, while the sum is 36.

The square root of 456426432 is about 21364.1389248432. The cubic root of 456426432 is about 769.9400819176.

The spelling of 456426432 in words is "four hundred fifty-six million, four hundred twenty-six thousand, four hundred thirty-two".