45960 has 32 divisors (see below), whose sum is σ = 138240. Its totient is φ = 12224.

The previous prime is 45959. The next prime is 45971. The reversal of 45960 is 6954.

It is a super-2 number, since 2×45960² = 4224643200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 45960.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 45960.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 72 + ... + 311.

It is an arithmetic number, because the mean of its divisors is an integer number (4320).

2⁴⁵⁹⁶⁰ is an apocalyptic number.

45960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45960 is an abundant number, since it is smaller than the sum of its proper divisors (92280).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69120).

45960 is a wasteful number, since it uses less digits than its factorization.

45960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 45960 is about 214.3828351338. The cubic root of 45960 is about 35.8200900524.

The spelling of 45960 in words is "forty-five thousand, nine hundred sixty".