452907464256 has 315 divisors, whose sum is σ = 1455802318641. Its totient is φ = 139162323456.

The previous prime is 452907464227. The next prime is 452907464327. The reversal of 452907464256 is 652464709254.

The square root of 452907464256 is 672984.

It is a perfect power (a square), and thus also a powerful number.

452907464256 is a `hidden beast` number, since 4 + 529 + 0 + 7 + 4 + 64 + 2 + 56 = 666.

It can be written as a sum of positive squares in only one way, i.e., 66998145600 + 385909318656 = 258840^2 + 621216^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 629912665 + ... + 629913383.

Almost surely, 2^452907464256 is an apocalyptic number.

452907464256 is the 672984-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 452907464256

452907464256 is an abundant number, since it is smaller than the sum of its proper divisors (1002894854385).

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

452907464256 is an frugal number, since it uses more digits than its factorization.

452907464256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1488 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 54.

The spelling of 452907464256 in words is "four hundred fifty-two billion, nine hundred seven million, four hundred sixty-four thousand, two hundred fifty-six".