457493253 has 48 divisors (see below), whose sum is σ = 756449280. Its totient is φ = 244653024.

The previous prime is 457493251. The next prime is 457493287. The reversal of 457493253 is 352394754.

It is not a de Polignac number, because 457493253 - 2¹ = 457493251 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (457493251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 157468 + ... + 160346.

It is an arithmetic number, because the mean of its divisors is an integer number (15759360).

Almost surely, 2^457493253 is an apocalyptic number.

It is an amenable number.

457493253 is a deficient number, since it is larger than the sum of its proper divisors (298956027).

457493253 is a wasteful number, since it uses less digits than its factorization.

457493253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2966 (or 2959 counting only the distinct ones).

The product of its digits is 453600, while the sum is 42.

The square root of 457493253 is about 21389.0919162081. The cubic root of 457493253 is about 770.5394841925.

The spelling of 457493253 in words is "four hundred fifty-seven million, four hundred ninety-three thousand, two hundred fifty-three".