422668800 has 240 divisors, whose sum is σ = 1552668480. Its totient is φ = 112619520.

The previous prime is 422668793. The next prime is 422668859. The reversal of 422668800 is 8866224.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 344989 + ... + 346211.

It is an arithmetic number, because the mean of its divisors is an integer number (6469452).

Almost surely, 2^422668800 is an apocalyptic number.

422668800 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 422668800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (776334240).

422668800 is an abundant number, since it is smaller than the sum of its proper divisors (1129999680).

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

422668800 is a wasteful number, since it uses less digits than its factorization.

422668800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1260 (or 1233 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 422668800 is about 20558.9104769684. The cubic root of 422668800 is about 750.4701052731.

The spelling of 422668800 in words is "four hundred twenty-two million, six hundred sixty-eight thousand, eight hundred".