447956900 has 36 divisors (see below), whose sum is σ = 977476500. Its totient is φ = 178185600.

The previous prime is 447956879. The next prime is 447956941. The reversal of 447956900 is 9659744.

It can be written as a sum of positive squares in 6 ways, for example, as 10394176 + 437562724 = 3224^2 + 20918^2 .

It is a super-3 number, since 3×447956900³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5726 + ... + 30474.

It is an arithmetic number, because the mean of its divisors is an integer number (27152125).

Almost surely, 2^447956900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 447956900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488738250).

447956900 is an abundant number, since it is smaller than the sum of its proper divisors (529519600).

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

447956900 is a wasteful number, since it uses less digits than its factorization.

447956900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24944 (or 24937 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 44.

The square root of 447956900 is about 21164.9923222287. The cubic root of 447956900 is about 765.1479344250.

The spelling of 447956900 in words is "four hundred forty-seven million, nine hundred fifty-six thousand, nine hundred".