447166720 has 288 divisors, whose sum is σ = 1442246400. Its totient is φ = 128286720.

The previous prime is 447166711. The next prime is 447166739. The reversal of 447166720 is 27661744.

It is a self number, because there is not a number n which added to its sum of digits gives 447166720.

It is a congruent number.

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, 1281106 + ... + 1281454.

It is an arithmetic number, because the mean of its divisors is an integer number (5007800).

Almost surely, 2^447166720 is an apocalyptic number.

447166720 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 447166720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (721123200).

447166720 is an abundant number, since it is smaller than the sum of its proper divisors (995079680).

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

447166720 is a wasteful number, since it uses less digits than its factorization.

447166720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 37.

The square root of 447166720 is about 21146.3169369987. The cubic root of 447166720 is about 764.6977717390.

The spelling of 447166720 in words is "four hundred forty-seven million, one hundred sixty-six thousand, seven hundred twenty".