422014800 has 240 divisors, whose sum is σ = 1451371392. Its totient is φ = 104448000.

The previous prime is 422014799. The next prime is 422014823. The reversal of 422014800 is 8410224.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2794725 + ... + 2794875.

Almost surely, 2^422014800 is an apocalyptic number.

422014800 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 422014800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725685696).

422014800 is an abundant number, since it is smaller than the sum of its proper divisors (1029356592).

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

422014800 is a wasteful number, since it uses less digits than its factorization.

422014800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 422014800 is about 20542.9988073796. The cubic root of 422014800 is about 750.0828352952.

The spelling of 422014800 in words is "four hundred twenty-two million, fourteen thousand, eight hundred".