456410430 has 128 divisors (see below), whose sum is σ = 1414886400. Its totient is φ = 102529152.

The previous prime is 456410411. The next prime is 456410447. The reversal of 456410430 is 34014654.

It is a super-2 number, since 2×456410430² = 416620961225569800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 456410394 and 456410403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 109464 + ... + 113556.

It is an arithmetic number, because the mean of its divisors is an integer number (11053800).

Almost surely, 2^456410430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 456410430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707443200).

456410430 is an abundant number, since it is smaller than the sum of its proper divisors (958475970).

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

456410430 is a wasteful number, since it uses less digits than its factorization.

456410430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4175 (or 4169 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 456410430 is about 21363.7644154770. The cubic root of 456410430 is about 769.9310839541.

The spelling of 456410430 in words is "four hundred fifty-six million, four hundred ten thousand, four hundred thirty".