45964872 has 108 divisors (see below), whose sum is σ = 135115305. Its totient is φ = 14113536.

The previous prime is 45964871. The next prime is 45964931. The reversal of 45964872 is 27846954.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 42068196 + 3896676 = 6486^2 + 1974^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=4794.

It is a super-2 number, since 2×45964872² = 4225538915952768, which contains 22 as substring.

Its product of digits (483840) is a multiple of the sum of its prime factors (140).

It is not an unprimeable number, because it can be changed into a prime (45964871) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 977953 + ... + 977999.

Almost surely, 2^45964872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45964872

45964872 is an abundant number, since it is smaller than the sum of its proper divisors (89150433).

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

45964872 is a wasteful number, since it uses less digits than its factorization.

45964872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 69 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 45964872 is about 6779.7398180166. The cubic root of 45964872 is about 358.2135571318.

The spelling of 45964872 in words is "forty-five million, nine hundred sixty-four thousand, eight hundred seventy-two".