422002400 has 72 divisors (see below), whose sum is σ = 1041964560. Its totient is φ = 166876160.

The previous prime is 422002391. The next prime is 422002409. The reversal of 422002400 is 4200224.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (422002391) and next prime (422002409).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (422002409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 68237 + ... + 74163.

It is an arithmetic number, because the mean of its divisors is an integer number (14471730).

Almost surely, 2^422002400 is an apocalyptic number.

422002400 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 422002400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520982280).

422002400 is an abundant number, since it is smaller than the sum of its proper divisors (619962160).

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

422002400 is a wasteful number, since it uses less digits than its factorization.

422002400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6036 (or 6023 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 14.

The square root of 422002400 is about 20542.6969991771. The cubic root of 422002400 is about 750.0754886980.

Adding to 422002400 its reverse (4200224), we get a palindrome (426202624).

The spelling of 422002400 in words is "four hundred twenty-two million, two thousand, four hundred".