45959424 has 144 divisors (see below), whose sum is σ = 142851072. Its totient is φ = 12847104.

The previous prime is 45959411. The next prime is 45959429. The reversal of 45959424 is 42495954.

It is a super-2 number, since 2×45959424² = 4224537308823552, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45959429) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 446157 + ... + 446259.

Almost surely, 2^45959424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45959424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71425536).

45959424 is an abundant number, since it is smaller than the sum of its proper divisors (96891648).

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

45959424 is a wasteful number, since it uses less digits than its factorization.

45959424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 198 counting only the distinct ones).

The product of its digits is 259200, while the sum is 42.

The square root of 45959424 is about 6779.3380207805. The cubic root of 45959424 is about 358.1994041168.

The spelling of 45959424 in words is "forty-five million, nine hundred fifty-nine thousand, four hundred twenty-four".