422276400 has 360 divisors, whose sum is σ = 1804988640. Its totient is φ = 89026560.

The previous prime is 422276399. The next prime is 422276401. The reversal of 422276400 is 4672224.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (422276399) and next prime (422276401).

It is a tau number, because it is divible by the number of its divisors (360).

It is not an unprimeable number, because it can be changed into a prime (422276401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 326956 + ... + 328244.

Almost surely, 2^422276400 is an apocalyptic number.

422276400 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 422276400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (902494320).

422276400 is an abundant number, since it is smaller than the sum of its proper divisors (1382712240).

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

422276400 is a wasteful number, since it uses less digits than its factorization.

422276400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1333 (or 1319 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 422276400 is about 20549.3649536914. The cubic root of 422276400 is about 750.2377912658.

The spelling of 422276400 in words is "four hundred twenty-two million, two hundred seventy-six thousand, four hundred".