44874560 has 112 divisors (see below), whose sum is σ = 115708176. Its totient is φ = 16515072.

The previous prime is 44874559. The next prime is 44874563. The reversal of 44874560 is 6547844.

It can be written as a sum of positive squares in 8 ways, for example, as 2050624 + 42823936 = 1432^2 + 6544^2 .

It is a super-2 number, since 2×44874560² = 4027452270387200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44874563) 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, 397064 + ... + 397176.

Almost surely, 2^44874560 is an apocalyptic number.

44874560 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 44874560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57854088).

44874560 is an abundant number, since it is smaller than the sum of its proper divisors (70833616).

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

44874560 is a wasteful number, since it uses less digits than its factorization.

44874560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 38.

The square root of 44874560 is about 6698.8476620983. The cubic root of 44874560 is about 355.3585216193.

The spelling of 44874560 in words is "forty-four million, eight hundred seventy-four thousand, five hundred sixty".