45939960 has 160 divisors (see below), whose sum is σ = 168577200. Its totient is φ = 11128320.

The previous prime is 45939913. The next prime is 45939961. The reversal of 45939960 is 6993954.

It is a happy number.

It is a super-2 number, since 2×45939960² = 4220959849603200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45939961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 34996 + ... + 36284.

Almost surely, 2^45939960 is an apocalyptic number.

45939960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45939960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84288600).

45939960 is an abundant number, since it is smaller than the sum of its proper divisors (122637240).

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

45939960 is a wasteful number, since it uses less digits than its factorization.

45939960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1323 (or 1310 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 45.

The square root of 45939960 is about 6777.9023303674. The cubic root of 45939960 is about 358.1488306831.

The spelling of 45939960 in words is "forty-five million, nine hundred thirty-nine thousand, nine hundred sixty".