45972864 has 96 divisors (see below), whose sum is σ = 151217040. Its totient is φ = 13132800.

The previous prime is 45972863. The next prime is 45972869. The reversal of 45972864 is 46827954.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×45972864² = 4227008448724992, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45972863) 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, 5214 + ... + 10914.

Almost surely, 2^45972864 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 45972864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75608520).

45972864 is an abundant number, since it is smaller than the sum of its proper divisors (105244176).

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

45972864 is a wasteful number, since it uses less digits than its factorization.

45972864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5728 (or 5713 counting only the distinct ones).

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

The square root of 45972864 is about 6780.3291955480. The cubic root of 45972864 is about 358.2343170202.

The spelling of 45972864 in words is "forty-five million, nine hundred seventy-two thousand, eight hundred sixty-four".