422024400 has 180 divisors, whose sum is σ = 1673862112. Its totient is φ = 96456960.

The previous prime is 422024381. The next prime is 422024417. The reversal of 422024400 is 4420224.

422024400 is a `hidden beast` number, since 4 + 220 + 2 + 440 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 16827 + ... + 33573.

Almost surely, 2^422024400 is an apocalyptic number.

422024400 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 422024400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (836931056).

422024400 is an abundant number, since it is smaller than the sum of its proper divisors (1251837712).

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

422024400 is a wasteful number, since it uses less digits than its factorization.

422024400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16778 (or 16764 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 422024400 is about 20543.2324622977. The cubic root of 422024400 is about 750.0885228845.

Adding to 422024400 its reverse (4420224), we get a palindrome (426444624).

The spelling of 422024400 in words is "four hundred twenty-two million, twenty-four thousand, four hundred".