444138624 has 48 divisors (see below), whose sum is σ = 1278058470. Its totient is φ = 148045824.

The previous prime is 444138613. The next prime is 444138631. The reversal of 444138624 is 426831444.

It can be written as a sum of positive squares in only one way, i.e., 330076224 + 114062400 = 18168^2 + 10680^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×444138624² = 394518234657226752, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 5 ways as a sum of consecutive naturals, for example, 191617 + ... + 193920.

Almost surely, 2^444138624 is an apocalyptic number.

It is an amenable number.

444138624 is an abundant number, since it is smaller than the sum of its proper divisors (833919846).

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

444138624 is a wasteful number, since it uses less digits than its factorization.

444138624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385557 (or 385542 counting only the distinct ones).

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

The square root of 444138624 is about 21074.5966509445. The cubic root of 444138624 is about 762.9677496966.

The spelling of 444138624 in words is "four hundred forty-four million, one hundred thirty-eight thousand, six hundred twenty-four".