44394624 has 96 divisors (see below), whose sum is σ = 129483900. Its totient is φ = 14598144.

The previous prime is 44394613. The next prime is 44394631. The reversal of 44394624 is 42649344.

It can be written as a sum of positive squares in 2 ways, for example, as 38044224 + 6350400 = 6168^2 + 2520^2 .

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a nude number because it is divisible by every one of its digits.

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, 102312 + ... + 102744.

Almost surely, 2^44394624 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 44394624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64741950).

44394624 is an abundant number, since it is smaller than the sum of its proper divisors (85089276).

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

44394624 is a wasteful number, since it uses less digits than its factorization.

44394624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542 (or 527 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 44394624 is about 6662.9290856199. The cubic root of 44394624 is about 354.0871182695.

The spelling of 44394624 in words is "forty-four million, three hundred ninety-four thousand, six hundred twenty-four".