422129400 has 192 divisors, whose sum is σ = 1631681280. Its totient is φ = 87705600.

The previous prime is 422129381. The next prime is 422129401. The reversal of 422129400 is 4921224.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (422129401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41632 + ... + 50768.

It is an arithmetic number, because the mean of its divisors is an integer number (8498340).

Almost surely, 2^422129400 is an apocalyptic number.

422129400 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 422129400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (815840640).

422129400 is an abundant number, since it is smaller than the sum of its proper divisors (1209551880).

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

422129400 is a wasteful number, since it uses less digits than its factorization.

422129400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9174 (or 9165 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 422129400 is about 20545.7878894921. The cubic root of 422129400 is about 750.1507252627.

The spelling of 422129400 in words is "four hundred twenty-two million, one hundred twenty-nine thousand, four hundred".