457610016 has 48 divisors (see below), whose sum is σ = 1203358464. Its totient is φ = 152265984.

The previous prime is 457610009. The next prime is 457610033. The reversal of 457610016 is 610016754.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54346 + ... + 62198.

It is an arithmetic number, because the mean of its divisors is an integer number (25069968).

Almost surely, 2^457610016 is an apocalyptic number.

It is an amenable number.

457610016 is an abundant number, since it is smaller than the sum of its proper divisors (745748448).

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

457610016 is a wasteful number, since it uses less digits than its factorization.

457610016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8473 (or 8465 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 457610016 is about 21391.8212408388. The cubic root of 457610016 is about 770.6050318613.

The spelling of 457610016 in words is "four hundred fifty-seven million, six hundred ten thousand, sixteen".