45907920 has 60 divisors (see below), whose sum is σ = 154176516. Its totient is φ = 12241920.

The previous prime is 45907919. The next prime is 45907921. The reversal of 45907920 is 2970954.

It is an interprime number because it is at equal distance from previous prime (45907919) and next prime (45907921).

It can be written as a sum of positive squares in 2 ways, for example, as 25765776 + 20142144 = 5076^2 + 4488^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45907921) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31161 + ... + 32600.

Almost surely, 2^45907920 is an apocalyptic number.

45907920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45907920 is an abundant number, since it is smaller than the sum of its proper divisors (108268596).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

45907920 is a wasteful number, since it uses less digits than its factorization.

45907920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63780 (or 63771 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 45907920 is about 6775.5383549944. The cubic root of 45907920 is about 358.0655498293.

The spelling of 45907920 in words is "forty-five million, nine hundred seven thousand, nine hundred twenty".