422672160 has 96 divisors (see below), whose sum is σ = 1334454912. Its totient is φ = 112455680.

The previous prime is 422672147. The next prime is 422672167. The reversal of 422672160 is 61276224.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×422672160³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (422672167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 309880 + ... + 311240.

It is an arithmetic number, because the mean of its divisors is an integer number (13900572).

Almost surely, 2^422672160 is an apocalyptic number.

422672160 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 422672160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (667227456).

422672160 is an abundant number, since it is smaller than the sum of its proper divisors (911782752).

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

422672160 is a wasteful number, since it uses less digits than its factorization.

422672160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2026 (or 2018 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 422672160 is about 20558.9921931986. The cubic root of 422672160 is about 750.4720938852.

The spelling of 422672160 in words is "four hundred twenty-two million, six hundred seventy-two thousand, one hundred sixty".