422089920 has 336 divisors, whose sum is σ = 1733885280. Its totient is φ = 96380928.

The previous prime is 422089909. The next prime is 422089931. The reversal of 422089920 is 29980224.

It is an interprime number because it is at equal distance from previous prime (422089909) and next prime (422089931).

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 422862 + ... + 423858.

Almost surely, 2^422089920 is an apocalyptic number.

422089920 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 422089920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (866942640).

422089920 is an abundant number, since it is smaller than the sum of its proper divisors (1311795360).

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

422089920 is a wasteful number, since it uses less digits than its factorization.

422089920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1037 (or 1014 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 422089920 is about 20544.8270861548. The cubic root of 422089920 is about 750.1273383787.

The spelling of 422089920 in words is "four hundred twenty-two million, eighty-nine thousand, nine hundred twenty".