456557400 has 288 divisors, whose sum is σ = 1675674000. Its totient is φ = 110730240.

The previous prime is 456557371. The next prime is 456557407. The reversal of 456557400 is 4755654.

It is a happy number.

456557400 is a `hidden beast` number, since 4 + 565 + 57 + 40 + 0 = 666.

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 (456557407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2550511 + ... + 2550689.

Almost surely, 2^456557400 is an apocalyptic number.

456557400 is a gapful number since it is divisible by the number (40) 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 456557400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (837837000).

456557400 is an abundant number, since it is smaller than the sum of its proper divisors (1219116600).

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

456557400 is a wasteful number, since it uses less digits than its factorization.

456557400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

The square root of 456557400 is about 21367.2038414014. The cubic root of 456557400 is about 770.0137176395.

The spelling of 456557400 in words is "four hundred fifty-six million, five hundred fifty-seven thousand, four hundred".