447468599760 has 960 divisors, whose sum is σ = 1805644431360. Its totient is φ = 90764513280.

The previous prime is 447468599749. The next prime is 447468599771. The reversal of 447468599760 is 67995864744.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (447468599749) and next prime (447468599771).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1246430461 + ... + 1246430819.

It is an arithmetic number, because the mean of its divisors is an integer number (1880879616).

Almost surely, 2^447468599760 is an apocalyptic number.

447468599760 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 447468599760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (902822215680).

447468599760 is an abundant number, since it is smaller than the sum of its proper divisors (1358175831600).

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

447468599760 is a wasteful number, since it uses less digits than its factorization.

447468599760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 696 (or 683 counting only the distinct ones).

The product of its (nonzero) digits is 365783040, while the sum is 69.

The spelling of 447468599760 in words is "four hundred forty-seven billion, four hundred sixty-eight million, five hundred ninety-nine thousand, seven hundred sixty".