451616256 has 320 divisors, whose sum is σ = 1649894400. Its totient is φ = 118775808.

The previous prime is 451616239. The next prime is 451616261. The reversal of 451616256 is 652616154.

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

It is a self number, because there is not a number n which added to its sum of digits gives 451616256.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1257805 + ... + 1258163.

It is an arithmetic number, because the mean of its divisors is an integer number (5155920).

Almost surely, 2^451616256 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 451616256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (824947200).

451616256 is an abundant number, since it is smaller than the sum of its proper divisors (1198278144).

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

451616256 is a wasteful number, since it uses less digits than its factorization.

451616256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 384 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 451616256 is about 21251.2648094178. The cubic root of 451616256 is about 767.2257822765.

The spelling of 451616256 in words is "four hundred fifty-one million, six hundred sixteen thousand, two hundred fifty-six".