457482656 has 48 divisors (see below), whose sum is σ = 934416000. Its totient is φ = 220217088.

The previous prime is 457482643. The next prime is 457482661. The reversal of 457482656 is 656284754.

It is a self number, because there is not a number n which added to its sum of digits gives 457482656.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 555461 + ... + 556283.

It is an arithmetic number, because the mean of its divisors is an integer number (19467000).

Almost surely, 2^457482656 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 457482656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467208000).

457482656 is an abundant number, since it is smaller than the sum of its proper divisors (476933344).

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

457482656 is a wasteful number, since it uses less digits than its factorization.

457482656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1461 (or 1453 counting only the distinct ones).

The product of its digits is 1612800, while the sum is 47.

The square root of 457482656 is about 21388.8441950471. The cubic root of 457482656 is about 770.5335347642.

The spelling of 457482656 in words is "four hundred fifty-seven million, four hundred eighty-two thousand, six hundred fifty-six".