422553600 has 432 divisors, whose sum is σ = 1742700960. Its totient is φ = 95846400.

The previous prime is 422553569. The next prime is 422553619. The reversal of 422553600 is 6355224.

422553600 is a `hidden beast` number, since 4 + 2 + 2 + 5 + 53 + 600 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3225535 + ... + 3225665.

It is an arithmetic number, because the mean of its divisors is an integer number (4034030).

Almost surely, 2^422553600 is an apocalyptic number.

422553600 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 422553600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (871350480).

422553600 is an abundant number, since it is smaller than the sum of its proper divisors (1320147360).

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

422553600 is a wasteful number, since it uses less digits than its factorization.

422553600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 422553600 is about 20556.1085811493. The cubic root of 422553600 is about 750.4019179108.

The spelling of 422553600 in words is "four hundred twenty-two million, five hundred fifty-three thousand, six hundred".