447476400 has 300 divisors, whose sum is σ = 1836309552. Its totient is φ = 102228480.

The previous prime is 447476357. The next prime is 447476401. The reversal of 447476400 is 4674744.

447476400 is a `hidden beast` number, since 4 + 4 + 7 + 4 + 7 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (300).

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

It is a zygodrome in base 6.

It is not an unprimeable number, because it can be changed into a prime (447476401) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 225814 + ... + 227786.

Almost surely, 2^447476400 is an apocalyptic number.

447476400 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 447476400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (918154776).

447476400 is an abundant number, since it is smaller than the sum of its proper divisors (1388833152).

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

447476400 is a wasteful number, since it uses less digits than its factorization.

447476400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2010 (or 1990 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 36.

The square root of 447476400 is about 21153.6379849897. The cubic root of 447476400 is about 764.8742584567.

The spelling of 447476400 in words is "four hundred forty-seven million, four hundred seventy-six thousand, four hundred".