447381480 has 256 divisors, whose sum is σ = 1685214720. Its totient is φ = 92491776.

The previous prime is 447381479. The next prime is 447381481. The reversal of 447381480 is 84183744.

It is an interprime number because it is at equal distance from previous prime (447381479) and next prime (447381481).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (447381481) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 578374 + ... + 579146.

It is an arithmetic number, because the mean of its divisors is an integer number (6582870).

Almost surely, 2^447381480 is an apocalyptic number.

447381480 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 447381480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (842607360).

447381480 is an abundant number, since it is smaller than the sum of its proper divisors (1237833240).

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

447381480 is a wasteful number, since it uses less digits than its factorization.

447381480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 860 (or 856 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 39.

The square root of 447381480 is about 21151.3942802833. The cubic root of 447381480 is about 764.8201721788.

The spelling of 447381480 in words is "four hundred forty-seven million, three hundred eighty-one thousand, four hundred eighty".