422956800 has 324 divisors, whose sum is σ = 1729837200. Its totient is φ = 96583680.

The previous prime is 422956771. The next prime is 422956813. The reversal of 422956800 is 8659224.

It is a happy number.

It is a super-3 number, since 3×422956800³ (a number of 27 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 402676 + ... + 403724.

Almost surely, 2^422956800 is an apocalyptic number.

422956800 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 422956800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (864918600).

422956800 is an abundant number, since it is smaller than the sum of its proper divisors (1306880400).

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

422956800 is a wasteful number, since it uses less digits than its factorization.

422956800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1088 (or 1066 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 422956800 is about 20565.9135464486. The cubic root of 422956800 is about 750.6405194907.

The spelling of 422956800 in words is "four hundred twenty-two million, nine hundred fifty-six thousand, eight hundred".