447630920 has 64 divisors (see below), whose sum is σ = 1101513600. Its totient is φ = 162362880.

The previous prime is 447630881. The next prime is 447630941. The reversal of 447630920 is 29036744.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 213236 + ... + 215324.

It is an arithmetic number, because the mean of its divisors is an integer number (17211150).

Almost surely, 2^447630920 is an apocalyptic number.

447630920 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 447630920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550756800).

447630920 is an abundant number, since it is smaller than the sum of its proper divisors (653882680).

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

447630920 is a wasteful number, since it uses less digits than its factorization.

447630920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2598 (or 2594 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 35.

The square root of 447630920 is about 21157.2899965946. The cubic root of 447630920 is about 764.9622889978.

The spelling of 447630920 in words is "four hundred forty-seven million, six hundred thirty thousand, nine hundred twenty".