422976400 has 240 divisors, whose sum is σ = 1310773248. Its totient is φ = 127296000.

The previous prime is 422976373. The next prime is 422976443. The reversal of 422976400 is 4679224.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 954579 + ... + 955021.

Almost surely, 2^422976400 is an apocalyptic number.

422976400 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 422976400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655386624).

422976400 is an abundant number, since it is smaller than the sum of its proper divisors (887796848).

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

422976400 is a wasteful number, since it uses less digits than its factorization.

422976400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 34.

The square root of 422976400 is about 20566.3900575672. The cubic root of 422976400 is about 750.6521143130.

The spelling of 422976400 in words is "four hundred twenty-two million, nine hundred seventy-six thousand, four hundred".