45977472 has 96 divisors (see below), whose sum is σ = 133899480. Its totient is φ = 15141888.

The previous prime is 45977431. The next prime is 45977497. The reversal of 45977472 is 27477954.

45977472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×45977472² = 4227855863021568, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 123078 + ... + 123450.

Almost surely, 2^45977472 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 45977472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66949740).

45977472 is an abundant number, since it is smaller than the sum of its proper divisors (87922008).

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

45977472 is a wasteful number, since it uses less digits than its factorization.

45977472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500 (or 485 counting only the distinct ones).

The product of its digits is 493920, while the sum is 45.

The square root of 45977472 is about 6780.6689935433. The cubic root of 45977472 is about 358.2462855921.

The spelling of 45977472 in words is "forty-five million, nine hundred seventy-seven thousand, four hundred seventy-two".