45211680 has 72 divisors (see below), whose sum is σ = 154289772. Its totient is φ = 12056064.

The previous prime is 45211679. The next prime is 45211711. The reversal of 45211680 is 8611254.

It can be written as a sum of positive squares in 2 ways, for example, as 44675856 + 535824 = 6684^2 + 732^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14259 + ... + 17138.

Almost surely, 2^45211680 is an apocalyptic number.

45211680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45211680 is an abundant number, since it is smaller than the sum of its proper divisors (109078092).

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

45211680 is a wasteful number, since it uses less digits than its factorization.

45211680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31418 (or 31407 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 45211680 is about 6723.9631170910. The cubic root of 45211680 is about 356.2461790911.

The spelling of 45211680 in words is "forty-five million, two hundred eleven thousand, six hundred eighty".