422232480 has 192 divisors, whose sum is σ = 1512846720. Its totient is φ = 109928448.

The previous prime is 422232463. The next prime is 422232509. The reversal of 422232480 is 84232224.

422232480 is a `hidden beast` number, since 422 + 232 + 4 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 31 ways as a sum of consecutive naturals, for example, 184624 + ... + 186896.

It is an arithmetic number, because the mean of its divisors is an integer number (7879410).

Almost surely, 2^422232480 is an apocalyptic number.

422232480 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 422232480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (756423360).

422232480 is an abundant number, since it is smaller than the sum of its proper divisors (1090614240).

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

422232480 is a wasteful number, since it uses less digits than its factorization.

422232480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2340 (or 2326 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 422232480 is about 20548.2962797406. The cubic root of 422232480 is about 750.2117801932.

The spelling of 422232480 in words is "four hundred twenty-two million, two hundred thirty-two thousand, four hundred eighty".