447416400 has 60 divisors (see below), whose sum is σ = 1433227712. Its totient is φ = 119310720.

The previous prime is 447416399. The next prime is 447416423. The reversal of 447416400 is 4614744.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 185224 + ... + 187623.

Almost surely, 2^447416400 is an apocalyptic number.

447416400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

447416400 is an abundant number, since it is smaller than the sum of its proper divisors (985811312).

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

447416400 is a wasteful number, since it uses less digits than its factorization.

447416400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372868 (or 372857 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 447416400 is about 21152.2197416725. The cubic root of 447416400 is about 764.8400708013.

The spelling of 447416400 in words is "four hundred forty-seven million, four hundred sixteen thousand, four hundred".