447586440 has 128 divisors (see below), whose sum is σ = 1601372160. Its totient is φ = 97853184.

The previous prime is 447586367. The next prime is 447586487. The reversal of 447586440 is 44685744.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 447586392 and 447586401.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7737 + ... + 30903.

It is an arithmetic number, because the mean of its divisors is an integer number (12510720).

Almost surely, 2^447586440 is an apocalyptic number.

447586440 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 447586440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (800686080).

447586440 is an abundant number, since it is smaller than the sum of its proper divisors (1153785720).

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

447586440 is a wasteful number, since it uses less digits than its factorization.

447586440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23211 (or 23207 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 42.

The square root of 447586440 is about 21156.2387961566. The cubic root of 447586440 is about 764.9369506755.

The spelling of 447586440 in words is "four hundred forty-seven million, five hundred eighty-six thousand, four hundred forty".