457301331 has 48 divisors (see below), whose sum is σ = 701719200. Its totient is φ = 286640640.

The previous prime is 457301311. The next prime is 457301393. The reversal of 457301331 is 133103754.

It is not a de Polignac number, because 457301331 - 2⁶ = 457301267 is a prime.

It is a super-2 number, since 2×457301331² = 418249014668743122, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 457301295 and 457301304.

It is not an unprimeable number, because it can be changed into a prime (457301311) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1310145 + ... + 1310493.

It is an arithmetic number, because the mean of its divisors is an integer number (14619150).

Almost surely, 2^457301331 is an apocalyptic number.

457301331 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

457301331 is a deficient number, since it is larger than the sum of its proper divisors (244417869).

457301331 is a wasteful number, since it uses less digits than its factorization.

457301331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 457301331 is about 21384.6049998591. The cubic root of 457301331 is about 770.4317200072.

The spelling of 457301331 in words is "four hundred fifty-seven million, three hundred one thousand, three hundred thirty-one".