447346142880 has 768 divisors, whose sum is σ = 1807781068800. Its totient is φ = 92356153344.

The previous prime is 447346142879. The next prime is 447346142897. The reversal of 447346142880 is 88241643744.

It is a happy number.

It is a super-2 number, since 2×447346142880² (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 100592817 + ... + 100597263.

It is an arithmetic number, because the mean of its divisors is an integer number (2353881600).

Almost surely, 2^447346142880 is an apocalyptic number.

447346142880 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 447346142880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (903890534400).

447346142880 is an abundant number, since it is smaller than the sum of its proper divisors (1360434925920).

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

447346142880 is a wasteful number, since it uses less digits than its factorization.

447346142880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4546 (or 4524 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 51.

The spelling of 447346142880 in words is "four hundred forty-seven billion, three hundred forty-six million, one hundred forty-two thousand, eight hundred eighty".