45642807 has 48 divisors (see below), whose sum is σ = 84015360. Its totient is φ = 23245056.

The previous prime is 45642791. The next prime is 45642829. The reversal of 45642807 is 70824654.

45642807 = 314² + 315² + ... + 551².

45642807 is a `hidden beast` number, since 4 + 5 + 642 + 8 + 0 + 7 = 666.

It is not a de Polignac number, because 45642807 - 2⁴ = 45642791 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45642007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19228 + ... + 21470.

It is an arithmetic number, because the mean of its divisors is an integer number (1750320).

Almost surely, 2^45642807 is an apocalyptic number.

45642807 is a deficient number, since it is larger than the sum of its proper divisors (38372553).

45642807 is a wasteful number, since it uses less digits than its factorization.

45642807 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2292 (or 2289 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 45642807 is about 6755.9460477419. The cubic root of 45642807 is about 357.3749561867.

The spelling of 45642807 in words is "forty-five million, six hundred forty-two thousand, eight hundred seven".