457367813 has 24 divisors (see below), whose sum is σ = 572635224. Its totient is φ = 362880000.

The previous prime is 457367803. The next prime is 457367837. The reversal of 457367813 is 318763754.

It can be written as a sum of positive squares in 4 ways, for example, as 1844164 + 455523649 = 1358^2 + 21343^2 .

It is not a de Polignac number, because 457367813 - 2¹⁴ = 457351429 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (457367803) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46313 + ... + 55313.

It is an arithmetic number, because the mean of its divisors is an integer number (23859801).

Almost surely, 2^457367813 is an apocalyptic number.

It is an amenable number.

457367813 is a deficient number, since it is larger than the sum of its proper divisors (115267411).

457367813 is a wasteful number, since it uses less digits than its factorization.

457367813 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9093 (or 9086 counting only the distinct ones).

The product of its digits is 423360, while the sum is 44.

The square root of 457367813 is about 21386.1593793743. The cubic root of 457367813 is about 770.4690530567.

The spelling of 457367813 in words is "four hundred fifty-seven million, three hundred sixty-seven thousand, eight hundred thirteen".