447955200 has 648 divisors, whose sum is σ = 2016495936. Its totient is φ = 92160000.

The previous prime is 447955187. The next prime is 447955213. The reversal of 447955200 is 2559744.

447955200 is a `hidden beast` number, since 4 + 47 + 95 + 520 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (447955187) and next prime (447955213).

It is a super-2 number, since 2×447955200² = 401327722414080000, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4435150 + ... + 4435250.

Almost surely, 2^447955200 is an apocalyptic number.

447955200 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 447955200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1008247968).

447955200 is an abundant number, since it is smaller than the sum of its proper divisors (1568540736).

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

447955200 is a wasteful number, since it uses less digits than its factorization.

447955200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 447955200 is about 21164.9521615335. The cubic root of 447955200 is about 765.1469665096.

447955200 divided by its product of nonzero digits (50400) gives a palindrome (8888).

The spelling of 447955200 in words is "four hundred forty-seven million, nine hundred fifty-five thousand, two hundred".