447022800 has 480 divisors, whose sum is σ = 1866031360. Its totient is φ = 100776960.

The previous prime is 447022799. The next prime is 447022813. The reversal of 447022800 is 8220744.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 6123564 + ... + 6123636.

Almost surely, 2^447022800 is an apocalyptic number.

447022800 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 447022800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (933015680).

447022800 is an abundant number, since it is smaller than the sum of its proper divisors (1419008560).

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

447022800 is an equidigital number, since it uses as much as digits as its factorization.

447022800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 447022800 is about 21142.9137064880. The cubic root of 447022800 is about 764.6157239572.

The spelling of 447022800 in words is "four hundred forty-seven million, twenty-two thousand, eight hundred".