45983360 has 32 divisors (see below), whose sum is σ = 109930500. Its totient is φ = 18393088.

The previous prime is 45983347. The next prime is 45983369. The reversal of 45983360 is 6338954.

It can be written as a sum of positive squares in 2 ways, for example, as 41886784 + 4096576 = 6472^2 + 2024^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×45983360² = 4228938793779200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45983369) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 35285 + ... + 36564.

Almost surely, 2^45983360 is an apocalyptic number.

45983360 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45983360 is an abundant number, since it is smaller than the sum of its proper divisors (63947140).

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

45983360 is an equidigital number, since it uses as much as digits as its factorization.

45983360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71868 (or 71856 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 38.

The square root of 45983360 is about 6781.1031550921. The cubic root of 45983360 is about 358.2615776036.

The spelling of 45983360 in words is "forty-five million, nine hundred eighty-three thousand, three hundred sixty".