422792160 has 192 divisors, whose sum is σ = 1574899200. Its totient is φ = 93284352.

The previous prime is 422792147. The next prime is 422792173. The reversal of 422792160 is 61297224.

It is an interprime number because it is at equal distance from previous prime (422792147) and next prime (422792173).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 95271 + ... + 99609.

It is an arithmetic number, because the mean of its divisors is an integer number (8202600).

Almost surely, 2^422792160 is an apocalyptic number.

422792160 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 422792160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (787449600).

422792160 is an abundant number, since it is smaller than the sum of its proper divisors (1152107040).

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

422792160 is a wasteful number, since it uses less digits than its factorization.

422792160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4393 (or 4385 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 422792160 is about 20561.9104170794. The cubic root of 422792160 is about 750.5431088377.

The spelling of 422792160 in words is "four hundred twenty-two million, seven hundred ninety-two thousand, one hundred sixty".