447464400 has 120 divisors (see below), whose sum is σ = 1439562624. Its totient is φ = 118809600.

The previous prime is 447464387. The next prime is 447464401. The reversal of 447464400 is 4464744.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (447464401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 336537 + ... + 337863.

Almost surely, 2^447464400 is an apocalyptic number.

447464400 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 447464400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (719781312).

447464400 is an abundant number, since it is smaller than the sum of its proper divisors (992098224).

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

447464400 is a wasteful number, since it uses less digits than its factorization.

447464400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1629 (or 1618 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 33.

The square root of 447464400 is about 21153.3543439333. The cubic root of 447464400 is about 764.8674211701.

The spelling of 447464400 in words is "four hundred forty-seven million, four hundred sixty-four thousand, four hundred".