45352880 has 20 divisors (see below), whose sum is σ = 105445632. Its totient is φ = 18141120.

The previous prime is 45352871. The next prime is 45352919. The reversal of 45352880 is 8825354.

It is a tau number, because it is divible by the number of its divisors (20).

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 45352880.

It is an unprimeable number.

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, 283376 + ... + 283535.

Almost surely, 2^45352880 is an apocalyptic number.

45352880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45352880 is an abundant number, since it is smaller than the sum of its proper divisors (60092752).

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

45352880 is a wasteful number, since it uses less digits than its factorization.

45352880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566924 (or 566918 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 35.

The square root of 45352880 is about 6734.4546921039. The cubic root of 45352880 is about 356.6166562580.

The spelling of 45352880 in words is "forty-five million, three hundred fifty-two thousand, eight hundred eighty".