45790560 has 72 divisors (see below), whose sum is σ = 156265200. Its totient is φ = 12210432.

The previous prime is 45790553. The next prime is 45790561. The reversal of 45790560 is 6509754.

45790560 is a `hidden beast` number, since 4 + 5 + 7 + 90 + 560 = 666.

45790560 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 (72).

It is a super-2 number, since 2×45790560² = 4193550770227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45790561) by changing a digit.

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, 14460 + ... + 17339.

It is an arithmetic number, because the mean of its divisors is an integer number (2170350).

Almost surely, 2^45790560 is an apocalyptic number.

45790560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45790560 is an abundant number, since it is smaller than the sum of its proper divisors (110474640).

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

45790560 is a wasteful number, since it uses less digits than its factorization.

45790560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31820 (or 31809 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 45790560 is about 6766.8722464666. The cubic root of 45790560 is about 357.7601672794.

The spelling of 45790560 in words is "forty-five million, seven hundred ninety thousand, five hundred sixty".