422521920 has 140 divisors (see below), whose sum is σ = 1503077004. Its totient is φ = 112665600.

The previous prime is 422521919. The next prime is 422521973. The reversal of 422521920 is 29125224.

It is a happy number.

422521920 is a `hidden beast` number, since 422 + 5 + 219 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 260112384 + 162409536 = 16128^2 + 12744^2 .

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 19 ways as a sum of consecutive naturals, for example, 17770 + ... + 34070.

Almost surely, 2^422521920 is an apocalyptic number.

422521920 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 422521920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (751538502).

422521920 is an abundant number, since it is smaller than the sum of its proper divisors (1080555084).

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

422521920 is a wasteful number, since it uses less digits than its factorization.

422521920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16330 (or 16311 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 422521920 is about 20555.3379928426. The cubic root of 422521920 is about 750.3831642136.

The spelling of 422521920 in words is "four hundred twenty-two million, five hundred twenty-one thousand, nine hundred twenty".