45888320 has 28 divisors (see below), whose sum is σ = 109272324. Its totient is φ = 18355200.

The previous prime is 45888319. The next prime is 45888329. The reversal of 45888320 is 2388854.

It can be written as a sum of positive squares in 2 ways, for example, as 31990336 + 13897984 = 5656^2 + 3728^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45888329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 71381 + ... + 72020.

It is an arithmetic number, because the mean of its divisors is an integer number (3902583).

Almost surely, 2^45888320 is an apocalyptic number.

45888320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45888320 is an abundant number, since it is smaller than the sum of its proper divisors (63384004).

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

45888320 is a wasteful number, since it uses less digits than its factorization.

45888320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143418 (or 143408 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 38.

The square root of 45888320 is about 6774.0918210488. The cubic root of 45888320 is about 358.0145848848.

The spelling of 45888320 in words is "forty-five million, eight hundred eighty-eight thousand, three hundred twenty".