45981584 has 40 divisors (see below), whose sum is σ = 97949088. Its totient is φ = 20737280.

The previous prime is 45981571. The next prime is 45981619. The reversal of 45981584 is 48518954.

It is a super-2 number, since 2×45981584² = 4228612134298112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

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, 23159 + ... + 25065.

Almost surely, 2^45981584 is an apocalyptic number.

45981584 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 45981584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48974544).

45981584 is an abundant number, since it is smaller than the sum of its proper divisors (51967504).

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

45981584 is a wasteful number, since it uses less digits than its factorization.

45981584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2063 (or 2057 counting only the distinct ones).

The product of its digits is 230400, while the sum is 44.

The square root of 45981584 is about 6780.9722016832. The cubic root of 45981584 is about 358.2569652050.

The spelling of 45981584 in words is "forty-five million, nine hundred eighty-one thousand, five hundred eighty-four".