422966880 has 384 divisors, whose sum is σ = 1724405760. Its totient is φ = 94832640.

The previous prime is 422966861. The next prime is 422966881. The reversal of 422966880 is 88669224.

422966880 is a `hidden beast` number, since 422 + 96 + 68 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (422966881) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2146942 + ... + 2147138.

It is an arithmetic number, because the mean of its divisors is an integer number (4490640).

Almost surely, 2^422966880 is an apocalyptic number.

422966880 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 422966880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (862202880).

422966880 is an abundant number, since it is smaller than the sum of its proper divisors (1301438880).

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

422966880 is a wasteful number, since it uses less digits than its factorization.

422966880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 422966880 is about 20566.1586106886. The cubic root of 422966880 is about 750.6464825869.

The spelling of 422966880 in words is "four hundred twenty-two million, nine hundred sixty-six thousand, eight hundred eighty".