422769600 has 504 divisors, whose sum is σ = 1746705168. Its totient is φ = 95846400.

The previous prime is 422769587. The next prime is 422769629. The reversal of 422769600 is 6967224.

It is a happy number.

422769600 is a `hidden beast` number, since 42 + 2 + 7 + 6 + 9 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2692722 + ... + 2692878.

Almost surely, 2^422769600 is an apocalyptic number.

422769600 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 422769600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (873352584).

422769600 is an abundant number, since it is smaller than the sum of its proper divisors (1323935568).

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

422769600 is a wasteful number, since it uses less digits than its factorization.

422769600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 422769600 is about 20561.3618226031. The cubic root of 422769600 is about 750.5297590524.

The spelling of 422769600 in words is "four hundred twenty-two million, seven hundred sixty-nine thousand, six hundred".