422246400 has 144 divisors (see below), whose sum is σ = 1396395000. Its totient is φ = 112558080.

The previous prime is 422246399. The next prime is 422246401. The reversal of 422246400 is 4642224.

It is an interprime number because it is at equal distance from previous prime (422246399) and next prime (422246401).

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 (422246401) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 152226 + ... + 154974.

Almost surely, 2^422246400 is an apocalyptic number.

422246400 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 422246400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (698197500).

422246400 is an abundant number, since it is smaller than the sum of its proper divisors (974148600).

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

422246400 is a wasteful number, since it uses less digits than its factorization.

422246400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2784 (or 2759 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 422246400 is about 20548.6349911618. The cubic root of 422246400 is about 750.2200243350.

Adding to 422246400 its reverse (4642224), we get a palindrome (426888624).

The spelling of 422246400 in words is "four hundred twenty-two million, two hundred forty-six thousand, four hundred".