457052160 has 208 divisors, whose sum is σ = 1505047104. Its totient is φ = 118358016.

The previous prime is 457052153. The next prime is 457052161. The reversal of 457052160 is 61250754.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (457052161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2641834 + ... + 2642006.

Almost surely, 2^457052160 is an apocalyptic number.

457052160 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 457052160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (752523552).

457052160 is an abundant number, since it is smaller than the sum of its proper divisors (1047994944).

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

457052160 is a wasteful number, since it uses less digits than its factorization.

457052160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

The square root of 457052160 is about 21378.7782625668. The cubic root of 457052160 is about 770.2917655206.

The spelling of 457052160 in words is "four hundred fifty-seven million, fifty-two thousand, one hundred sixty".