422210880 has 560 divisors, whose sum is σ = 1858792320. Its totient is φ = 88584192.

The previous prime is 422210821. The next prime is 422210891. The reversal of 422210880 is 88012224.

It is a tau number, because it is divible by the number of its divisors (560).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2358631 + ... + 2358809.

It is an arithmetic number, because the mean of its divisors is an integer number (3319272).

Almost surely, 2^422210880 is an apocalyptic number.

422210880 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 422210880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (929396160).

422210880 is an abundant number, since it is smaller than the sum of its proper divisors (1436581440).

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

422210880 is a wasteful number, since it uses less digits than its factorization.

422210880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 422210880 is about 20547.7706819986. The cubic root of 422210880 is about 750.1989872008.

The spelling of 422210880 in words is "four hundred twenty-two million, two hundred ten thousand, eight hundred eighty".