422920800 has 216 divisors, whose sum is σ = 1505059920. Its totient is φ = 111744000.

The previous prime is 422920783. The next prime is 422920807. The reversal of 422920800 is 8029224.

It is a super-3 number, since 3×422920800³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (422920807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1087006 + ... + 1087394.

It is an arithmetic number, because the mean of its divisors is an integer number (6967870).

Almost surely, 2^422920800 is an apocalyptic number.

422920800 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 422920800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (752529960).

422920800 is an abundant number, since it is smaller than the sum of its proper divisors (1082139120).

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

422920800 is a wasteful number, since it uses less digits than its factorization.

422920800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 422920800 is about 20565.0382931810. The cubic root of 422920800 is about 750.6192219449.

The spelling of 422920800 in words is "four hundred twenty-two million, nine hundred twenty thousand, eight hundred".