422902800 has 180 divisors, whose sum is σ = 1487166720. Its totient is φ = 111271680.

The previous prime is 422902789. The next prime is 422902849. The reversal of 422902800 is 8209224.

It is a tau number, because it is divible by the number of its divisors (180).

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, 283657 + ... + 285143.

Almost surely, 2^422902800 is an apocalyptic number.

422902800 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 422902800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (743583360).

422902800 is an abundant number, since it is smaller than the sum of its proper divisors (1064263920).

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

422902800 is a wasteful number, since it uses less digits than its factorization.

422902800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1590 (or 1576 counting only the distinct ones).

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

The square root of 422902800 is about 20564.6006525777. The cubic root of 422902800 is about 750.6085727188.

The spelling of 422902800 in words is "four hundred twenty-two million, nine hundred two thousand, eight hundred".