457271328 has 96 divisors (see below), whose sum is σ = 1304432640. Its totient is φ = 139726080.

The previous prime is 457271327. The next prime is 457271363. The reversal of 457271328 is 823172754.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (457271327) 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, 52501 + ... + 60587.

It is an arithmetic number, because the mean of its divisors is an integer number (13587840).

Almost surely, 2^457271328 is an apocalyptic number.

457271328 is a gapful number since it is divisible by the number (48) 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 457271328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (652216320).

457271328 is an abundant number, since it is smaller than the sum of its proper divisors (847161312).

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

457271328 is a wasteful number, since it uses less digits than its factorization.

457271328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8150 (or 8142 counting only the distinct ones).

The product of its digits is 94080, while the sum is 39.

The square root of 457271328 is about 21383.9034790190. The cubic root of 457271328 is about 770.4148706004.

The spelling of 457271328 in words is "four hundred fifty-seven million, two hundred seventy-one thousand, three hundred twenty-eight".