422096400 has 720 divisors, whose sum is σ = 1840507200. Its totient is φ = 91238400.

The previous prime is 422096371. The next prime is 422096401. The reversal of 422096400 is 4690224.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is not an unprimeable number, because it can be changed into a prime (422096401) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 22215591 + ... + 22215609.

It is an arithmetic number, because the mean of its divisors is an integer number (2556260).

Almost surely, 2^422096400 is an apocalyptic number.

422096400 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 422096400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (920253600).

422096400 is an abundant number, since it is smaller than the sum of its proper divisors (1418410800).

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

422096400 is a wasteful number, since it uses less digits than its factorization.

422096400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 422096400 is about 20544.9847894809. The cubic root of 422096400 is about 750.1311770554.

The spelling of 422096400 in words is "four hundred twenty-two million, ninety-six thousand, four hundred".