422366400 has 210 divisors, whose sum is σ = 1552989020. Its totient is φ = 112596480.

The previous prime is 422366387. The next prime is 422366429. The reversal of 422366400 is 4663224.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 127971 + ... + 131229.

Almost surely, 2^422366400 is an apocalyptic number.

422366400 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 422366400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (776494510).

422366400 is an abundant number, since it is smaller than the sum of its proper divisors (1130622620).

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

422366400 is a wasteful number, since it uses less digits than its factorization.

422366400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3293 (or 3269 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 422366400 is about 20551.5546857166. The cubic root of 422366400 is about 750.2910870099.

The spelling of 422366400 in words is "four hundred twenty-two million, three hundred sixty-six thousand, four hundred".