456975507 has 16 divisors (see below), whose sum is σ = 617621760. Its totient is φ = 300501792.

The previous prime is 456975481. The next prime is 456975509. The reversal of 456975507 is 705579654.

It is not a de Polignac number, because 456975507 - 2¹¹ = 456973459 is a prime.

It is a super-2 number, since 2×456975507² = 417653227995814098, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (456975509) 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, 227833 + ... + 229829.

It is an arithmetic number, because the mean of its divisors is an integer number (38601360).

Almost surely, 2^456975507 is an apocalyptic number.

456975507 is a deficient number, since it is larger than the sum of its proper divisors (160646253).

456975507 is a wasteful number, since it uses less digits than its factorization.

456975507 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3002.

The product of its (nonzero) digits is 1323000, while the sum is 48.

The square root of 456975507 is about 21376.9854516487. The cubic root of 456975507 is about 770.2487007963.

The spelling of 456975507 in words is "four hundred fifty-six million, nine hundred seventy-five thousand, five hundred seven".