422361600 has 240 divisors, whose sum is σ = 1479601728. Its totient is φ = 105840640.

The previous prime is 422361587. The next prime is 422361601. The reversal of 422361600 is 6163224.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (422361601) 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 23 ways as a sum of consecutive naturals, for example, 652477 + ... + 653123.

Almost surely, 2^422361600 is an apocalyptic number.

422361600 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 422361600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (739800864).

422361600 is an abundant number, since it is smaller than the sum of its proper divisors (1057240128).

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

422361600 is a wasteful number, since it uses less digits than its factorization.

422361600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 695 (or 674 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 422361600 is about 20551.4379058985. The cubic root of 422361600 is about 750.2882447613.

The spelling of 422361600 in words is "four hundred twenty-two million, three hundred sixty-one thousand, six hundred".