444014640 has 120 divisors (see below), whose sum is σ = 1522991808. Its totient is φ = 115875840.

The previous prime is 444014633. The next prime is 444014651. The reversal of 444014640 is 46410444.

444014640 is a `hidden beast` number, since 4 + 4 + 4 + 0 + 14 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27280 + ... + 40400.

Almost surely, 2^444014640 is an apocalyptic number.

444014640 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 444014640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (761495904).

444014640 is an abundant number, since it is smaller than the sum of its proper divisors (1078977168).

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

444014640 is a wasteful number, since it uses less digits than its factorization.

444014640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13187 (or 13178 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 444014640 is about 21071.6548946683. The cubic root of 444014640 is about 762.8967473923.

The spelling of 444014640 in words is "four hundred forty-four million, fourteen thousand, six hundred forty".