422876160 has 704 divisors, whose sum is σ = 1886515200. Its totient is φ = 87588864.

The previous prime is 422876159. The next prime is 422876189. The reversal of 422876160 is 61678224.

422876160 = 1540² + 1541² + ... + 1700².

422876160 is a `hidden beast` number, since 422 + 8 + 76 + 160 = 666.

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

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18385909 + ... + 18385931.

Almost surely, 2^422876160 is an apocalyptic number.

422876160 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 422876160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (943257600).

422876160 is an abundant number, since it is smaller than the sum of its proper divisors (1463639040).

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

422876160 is a wasteful number, since it uses less digits than its factorization.

422876160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 422876160 is about 20563.9529273921. The cubic root of 422876160 is about 750.5928113095.

The spelling of 422876160 in words is "four hundred twenty-two million, eight hundred seventy-six thousand, one hundred sixty".