457505646 has 48 divisors (see below), whose sum is σ = 1009624176. Its totient is φ = 138098688.

The previous prime is 457505639. The next prime is 457505663. The reversal of 457505646 is 646505754.

It is a super-2 number, since 2×457505646² = 418622832243754632, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 457505598 and 457505607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49486 + ... + 57998.

It is an arithmetic number, because the mean of its divisors is an integer number (21033837).

Almost surely, 2^457505646 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 457505646, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504812088).

457505646 is an abundant number, since it is smaller than the sum of its proper divisors (552118530).

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

457505646 is a wasteful number, since it uses less digits than its factorization.

457505646 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8597 (or 8584 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 42.

The square root of 457505646 is about 21389.3816179898. The cubic root of 457505646 is about 770.5464418249.

The spelling of 457505646 in words is "four hundred fifty-seven million, five hundred five thousand, six hundred forty-six".