457873507 has 16 divisors (see below), whose sum is σ = 566419392. Its totient is φ = 360420480.

The previous prime is 457873499. The next prime is 457873517. The reversal of 457873507 is 705378754.

It is not a de Polignac number, because 457873507 - 2³ = 457873499 is a prime.

It is not an unprimeable number, because it can be changed into a prime (457873517) 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, 5157 + ... + 30697.

It is an arithmetic number, because the mean of its divisors is an integer number (35401212).

Almost surely, 2^457873507 is an apocalyptic number.

457873507 is a deficient number, since it is larger than the sum of its proper divisors (108545885).

457873507 is a wasteful number, since it uses less digits than its factorization.

457873507 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25758.

The product of its (nonzero) digits is 823200, while the sum is 46.

The square root of 457873507 is about 21397.9790400869. The cubic root of 457873507 is about 770.7529077996.

It can be divided in two parts, 45787 and 3507, that added together give a palindrome (49294).

The spelling of 457873507 in words is "four hundred fifty-seven million, eight hundred seventy-three thousand, five hundred seven".