456430464 has 320 divisors, whose sum is σ = 1639017600. Its totient is φ = 123171840.

The previous prime is 456430439. The next prime is 456430531. The reversal of 456430464 is 464034654.

456430464 is a `hidden beast` number, since 4 + 5 + 643 + 0 + 4 + 6 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1378779 + ... + 1379109.

It is an arithmetic number, because the mean of its divisors is an integer number (5121930).

Almost surely, 2^456430464 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 456430464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (819508800).

456430464 is an abundant number, since it is smaller than the sum of its proper divisors (1182587136).

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

456430464 is a wasteful number, since it uses less digits than its factorization.

456430464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383 (or 362 counting only the distinct ones).

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

The square root of 456430464 is about 21364.2332883724. The cubic root of 456430464 is about 769.9423490879.

The spelling of 456430464 in words is "four hundred fifty-six million, four hundred thirty thousand, four hundred sixty-four".