447925428720 has 1920 divisors, whose sum is σ = 2045697638400. Its totient is φ = 86880245760.

The previous prime is 447925428703. The next prime is 447925428733. The reversal of 447925428720 is 27824529744.

447925428720 is a `hidden beast` number, since 4 + 4 + 7 + 92 + 542 + 8 + 7 + 2 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 4186218907 + ... + 4186219013.

It is an arithmetic number, because the mean of its divisors is an integer number (1065467520).

Almost surely, 2^447925428720 is an apocalyptic number.

447925428720 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 447925428720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1022848819200).

447925428720 is an abundant number, since it is smaller than the sum of its proper divisors (1597772209680).

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

447925428720 is a wasteful number, since it uses less digits than its factorization.

447925428720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 447925428720 in words is "four hundred forty-seven billion, nine hundred twenty-five million, four hundred twenty-eight thousand, seven hundred twenty".