447959400 has 96 divisors (see below), whose sum is σ = 1587071040. Its totient is φ = 102389760.

The previous prime is 447959389. The next prime is 447959461. The reversal of 447959400 is 4959744.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 49129 + ... + 57528.

It is an arithmetic number, because the mean of its divisors is an integer number (16531990).

Almost surely, 2^447959400 is an apocalyptic number.

447959400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

447959400 is an abundant number, since it is smaller than the sum of its proper divisors (1139111640).

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

447959400 is a wasteful number, since it uses less digits than its factorization.

447959400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106683 (or 106674 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 447959400 is about 21165.0513819362. The cubic root of 447959400 is about 765.1493578255.

The spelling of 447959400 in words is "four hundred forty-seven million, nine hundred fifty-nine thousand, four hundred".