44468640 has 72 divisors (see below), whose sum is σ = 151754148. Its totient is φ = 11857920.

The previous prime is 44468587. The next prime is 44468657. The reversal of 44468640 is 4686444.

44468640 is a `hidden beast` number, since 4 + 4 + 4 + 6 + 8 + 640 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 42146064 + 2322576 = 6492^2 + 1524^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 44468595 and 44468604.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14001 + ... + 16880.

Almost surely, 2^44468640 is an apocalyptic number.

44468640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

44468640 is an abundant number, since it is smaller than the sum of its proper divisors (107285508).

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

44468640 is a wasteful number, since it uses less digits than its factorization.

44468640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30902 (or 30891 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 44468640 is about 6668.4810864244. The cubic root of 44468640 is about 354.2837904360.

It can be divided in two parts, 4 and 4468640, that added together give a palindrome (4468644).

The spelling of 44468640 in words is "forty-four million, four hundred sixty-eight thousand, six hundred forty".