447488452992 has 768 divisors, whose sum is σ = 1516407480000. Its totient is φ = 116100956160.

The previous prime is 447488452969. The next prime is 447488453029. The reversal of 447488452992 is 299254884744.

It is a super-2 number, since 2×447488452992² (a number of 24 digits) contains 22 as substring.

Its product of digits (185794560) is a multiple of the sum of its prime divisors (448).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1954097934 + ... + 1954098162.

Almost surely, 2^447488452992 is an apocalyptic number.

447488452992 is a gapful number since it is divisible by the number (42) 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 447488452992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (758203740000).

447488452992 is an abundant number, since it is smaller than the sum of its proper divisors (1068919027008).

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

447488452992 is a wasteful number, since it uses less digits than its factorization.

447488452992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467 (or 448 counting only the distinct ones).

The product of its digits is 185794560, while the sum is 66.

The spelling of 447488452992 in words is "four hundred forty-seven billion, four hundred eighty-eight million, four hundred fifty-two thousand, nine hundred ninety-two".