422713600 has 81 divisors (see below), whose sum is σ = 1050369187. Its totient is φ = 168427520.

The previous prime is 422713589. The next prime is 422713609. The reversal of 422713600 is 6317224.

The square root of 422713600 is 20560.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 103876864 + 318836736 = 10192^2 + 17856^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (422713609) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1644672 + ... + 1644928.

Almost surely, 2^422713600 is an apocalyptic number.

422713600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

422713600 is the 20560-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 422713600

422713600 is an abundant number, since it is smaller than the sum of its proper divisors (627655587).

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

422713600 is an frugal number, since it uses more digits than its factorization.

422713600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 25.

The cubic root of 422713600 is about 750.4966192347.

Multiplying 422713600 by its sum of digits (25), we get a square (10567840000 = 102800²).

422713600 divided by its sum of digits (25) gives a square (16908544 = 4112²).

The spelling of 422713600 in words is "four hundred twenty-two million, seven hundred thirteen thousand, six hundred".