447631360 has 104 divisors (see below), whose sum is σ = 1172426976. Its totient is φ = 162693120.

The previous prime is 447631339. The next prime is 447631363. The reversal of 447631360 is 63136744.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (447631363) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 224287 + ... + 226273.

Almost surely, 2^447631360 is an apocalyptic number.

447631360 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 447631360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (586213488).

447631360 is an abundant number, since it is smaller than the sum of its proper divisors (724795616).

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

447631360 is a wasteful number, since it uses less digits than its factorization.

447631360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2027 (or 2005 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 34.

The square root of 447631360 is about 21157.3003948992. The cubic root of 447631360 is about 764.9625396383.

The spelling of 447631360 in words is "four hundred forty-seven million, six hundred thirty-one thousand, three hundred sixty".