45924864 has 80 divisors (see below), whose sum is σ = 126688320. Its totient is φ = 14766080.

The previous prime is 45924841. The next prime is 45924869. The reversal of 45924864 is 46842954.

It is not an unprimeable number, because it can be changed into a prime (45924869) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44029 + ... + 45059.

It is an arithmetic number, because the mean of its divisors is an integer number (1583604).

Almost surely, 2^45924864 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 45924864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63344160).

45924864 is an abundant number, since it is smaller than the sum of its proper divisors (80763456).

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

45924864 is a wasteful number, since it uses less digits than its factorization.

45924864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1081 (or 1065 counting only the distinct ones).

The product of its digits is 276480, while the sum is 42.

The square root of 45924864 is about 6776.7886199881. The cubic root of 45924864 is about 358.1095968144.

The spelling of 45924864 in words is "forty-five million, nine hundred twenty-four thousand, eight hundred sixty-four".