44400624 has 80 divisors (see below), whose sum is σ = 119992320. Its totient is φ = 14129920.

The previous prime is 44400611. The next prime is 44400641. The reversal of 44400624 is 42600444.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 4.

It is a junction number, because it is equal to n+sod(n) for n = 44400594 and 44400603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 232369 + ... + 232559.

It is an arithmetic number, because the mean of its divisors is an integer number (1499904).

Almost surely, 2^44400624 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 44400624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59996160).

44400624 is an abundant number, since it is smaller than the sum of its proper divisors (75591696).

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

44400624 is a wasteful number, since it uses less digits than its factorization.

44400624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 44400624 is about 6663.3793228361. The cubic root of 44400624 is about 354.1030693526.

The spelling of 44400624 in words is "forty-four million, four hundred thousand, six hundred twenty-four".