422922400 has 72 divisors (see below), whose sum is σ = 1035496224. Its totient is φ = 168672000.

The previous prime is 422922397. The next prime is 422922427. The reversal of 422922400 is 4229224.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 401875 + ... + 402925.

It is an arithmetic number, because the mean of its divisors is an integer number (14381892).

Almost surely, 2^422922400 is an apocalyptic number.

422922400 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 422922400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517748112).

422922400 is an abundant number, since it is smaller than the sum of its proper divisors (612573824).

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

422922400 is a wasteful number, since it uses less digits than its factorization.

422922400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1574 (or 1561 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 422922400 is about 20565.0771941172. The cubic root of 422922400 is about 750.6201685281.

422922400 divided by its reverse (4229224) gives a square (100 = 10²).

The spelling of 422922400 in words is "four hundred twenty-two million, nine hundred twenty-two thousand, four hundred".