447393300480 has 1200 divisors, whose sum is σ = 1909253748600. Its totient is φ = 99883155456.

The previous prime is 447393300469. The next prime is 447393300521. The reversal of 447393300480 is 84003393744.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 10404495339 + ... + 10404495381.

Almost surely, 2^447393300480 is an apocalyptic number.

447393300480 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 447393300480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (954626874300).

447393300480 is an abundant number, since it is smaller than the sum of its proper divisors (1461860448120).

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

447393300480 is an frugal number, since it uses more digits than its factorization.

447393300480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 447393300480 in words is "four hundred forty-seven billion, three hundred ninety-three million, three hundred thousand, four hundred eighty".