422089200 has 360 divisors, whose sum is σ = 1637082720. Its totient is φ = 99993600.

The previous prime is 422089189. The next prime is 422089223. The reversal of 422089200 is 2980224.

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1357045 + ... + 1357355.

It is an arithmetic number, because the mean of its divisors is an integer number (4547452).

Almost surely, 2^422089200 is an apocalyptic number.

422089200 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 422089200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (818541360).

422089200 is an abundant number, since it is smaller than the sum of its proper divisors (1214993520).

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

422089200 is a wasteful number, since it uses less digits than its factorization.

422089200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 363 counting only the distinct ones).

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

The square root of 422089200 is about 20544.8095634883. The cubic root of 422089200 is about 750.1269118566.

The spelling of 422089200 in words is "four hundred twenty-two million, eighty-nine thousand, two hundred".