422551584 has 288 divisors, whose sum is σ = 1545433344. Its totient is φ = 106444800.

The previous prime is 422551567. The next prime is 422551603. The reversal of 422551584 is 485155224.

422551584 is a `hidden beast` number, since 4 + 2 + 25 + 51 + 584 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×422551584² = 357099682281818112, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 602434 + ... + 603134.

It is an arithmetic number, because the mean of its divisors is an integer number (5366088).

Almost surely, 2^422551584 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 422551584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (772716672).

422551584 is an abundant number, since it is smaller than the sum of its proper divisors (1122881760).

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

422551584 is a wasteful number, since it uses less digits than its factorization.

422551584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 760 (or 749 counting only the distinct ones).

The product of its digits is 64000, while the sum is 36.

The square root of 422551584 is about 20556.0595445723. The cubic root of 422551584 is about 750.4007245217.

The spelling of 422551584 in words is "four hundred twenty-two million, five hundred fifty-one thousand, five hundred eighty-four".