456100645 has 32 divisors (see below), whose sum is σ = 734872320. Its totient is φ = 262448640.

The previous prime is 456100607. The next prime is 456100717. The reversal of 456100645 is 546001654.

It is not a de Polignac number, because 456100645 - 2¹³ = 456092453 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40560 + ... + 50569.

It is an arithmetic number, because the mean of its divisors is an integer number (22964760).

Almost surely, 2^456100645 is an apocalyptic number.

It is an amenable number.

456100645 is a deficient number, since it is larger than the sum of its proper divisors (278771675).

456100645 is a wasteful number, since it uses less digits than its factorization.

456100645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91165.

The product of its (nonzero) digits is 14400, while the sum is 31.

The square root of 456100645 is about 21356.5129410211. The cubic root of 456100645 is about 769.7568496331.

It can be divided in two parts, 456 and 100645, that added together give a palindrome (101101).

The spelling of 456100645 in words is "four hundred fifty-six million, one hundred thousand, six hundred forty-five".