422124900 has 144 divisors (see below), whose sum is σ = 1299916800. Its totient is φ = 105459840.

The previous prime is 422124893. The next prime is 422124917. The reversal of 422124900 is 9421224.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 586741 + ... + 587459.

It is an arithmetic number, because the mean of its divisors is an integer number (9027200).

Almost surely, 2^422124900 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 422124900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (649958400).

422124900 is an abundant number, since it is smaller than the sum of its proper divisors (877791900).

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

422124900 is a wasteful number, since it uses less digits than its factorization.

422124900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 858 (or 851 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 422124900 is about 20545.6783777027. The cubic root of 422124900 is about 750.1480596581.

The spelling of 422124900 in words is "four hundred twenty-two million, one hundred twenty-four thousand, nine hundred".