422331408 has 200 divisors, whose sum is σ = 1340907480. Its totient is φ = 127733760.

The previous prime is 422331367. The next prime is 422331421. The reversal of 422331408 is 804133224.

422331408 is a `hidden beast` number, since 4 + 223 + 31 + 408 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 179345664 + 242985744 = 13392^2 + 15588^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 638598 + ... + 639258.

Almost surely, 2^422331408 is an apocalyptic number.

422331408 is a gapful number since it is divisible by the number (48) 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 422331408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (670453740).

422331408 is an abundant number, since it is smaller than the sum of its proper divisors (918576072).

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

422331408 is a wasteful number, since it uses less digits than its factorization.

422331408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 727 (or 712 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 422331408 is about 20550.7033456279. The cubic root of 422331408 is about 750.2703665242.

The spelling of 422331408 in words is "four hundred twenty-two million, three hundred thirty-one thousand, four hundred eight".