444420464 has 20 divisors (see below), whose sum is σ = 888841920. Its totient is φ = 215041920.

The previous prime is 444420461. The next prime is 444420479. The reversal of 444420464 is 464024444.

444420464 is an admirable number.

It is a super-3 number, since 3×444420464³ (a number of 27 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 444420464.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444420461) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 447509 + ... + 448500.

It is an arithmetic number, because the mean of its divisors is an integer number (44442096).

Almost surely, 2^444420464 is an apocalyptic number.

It is an amenable number.

444420464 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

444420464 is a wasteful number, since it uses less digits than its factorization.

444420464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 896048 (or 896042 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 32.

The square root of 444420464 is about 21081.2823139391. The cubic root of 444420464 is about 763.1291027439.

The spelling of 444420464 in words is "four hundred forty-four million, four hundred twenty thousand, four hundred sixty-four".