444669120 has 504 divisors, whose sum is σ = 1870094304. Its totient is φ = 96509952.

The previous prime is 444669101. The next prime is 444669131. The reversal of 444669120 is 21966444.

It is a tau number, because it is divible by the number of its divisors (504).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3245692 + ... + 3245828.

Almost surely, 2^444669120 is an apocalyptic number.

444669120 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 444669120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (935047152).

444669120 is an abundant number, since it is smaller than the sum of its proper divisors (1425425184).

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

444669120 is a wasteful number, since it uses less digits than its factorization.

444669120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 444669120 is about 21087.1790432006. The cubic root of 444669120 is about 763.2714013601.

The spelling of 444669120 in words is "four hundred forty-four million, six hundred sixty-nine thousand, one hundred twenty".