45985984 has 56 divisors (see below), whose sum is σ = 100876608. Its totient is φ = 20624640.

The previous prime is 45985939. The next prime is 45985991. The reversal of 45985984 is 48958954.

It is a super-2 number, since 2×45985984² = 4229421448896512, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58039 + ... + 58825.

It is an arithmetic number, because the mean of its divisors is an integer number (1801368).

Almost surely, 2^45985984 is an apocalyptic number.

45985984 is a gapful number since it is divisible by the number (44) 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 45985984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50438304).

45985984 is an abundant number, since it is smaller than the sum of its proper divisors (54890624).

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

45985984 is a wasteful number, since it uses less digits than its factorization.

45985984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 893 (or 883 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 52.

The square root of 45985984 is about 6781.2966311761. The cubic root of 45985984 is about 358.2683921013.

The spelling of 45985984 in words is "forty-five million, nine hundred eighty-five thousand, nine hundred eighty-four".