457397120 has 64 divisors (see below), whose sum is σ = 1100939040. Its totient is φ = 181708800.

The previous prime is 457397119. The next prime is 457397179. The reversal of 457397120 is 21793754.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

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, 94274 + ... + 99006.

Almost surely, 2^457397120 is an apocalyptic number.

457397120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 457397120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550469520).

457397120 is an abundant number, since it is smaller than the sum of its proper divisors (643541920).

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

457397120 is a wasteful number, since it uses less digits than its factorization.

457397120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4903 (or 4891 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 38.

The square root of 457397120 is about 21386.8445545387. The cubic root of 457397120 is about 770.4855092900.

The spelling of 457397120 in words is "four hundred fifty-seven million, three hundred ninety-seven thousand, one hundred twenty".