422532002400 has 288 divisors, whose sum is σ = 1389139839360. Its totient is φ = 111549419520.

The previous prime is 422532002393. The next prime is 422532002419. The reversal of 422532002400 is 4200235224.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 137765667 + ... + 137768733.

It is an arithmetic number, because the mean of its divisors is an integer number (4823402220).

Almost surely, 2^422532002400 is an apocalyptic number.

422532002400 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 422532002400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (694569919680).

422532002400 is an abundant number, since it is smaller than the sum of its proper divisors (966607836960).

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

422532002400 is a wasteful number, since it uses less digits than its factorization.

422532002400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3646 (or 3633 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

Adding to 422532002400 its reverse (4200235224), we get a palindrome (426732237624).

The spelling of 422532002400 in words is "four hundred twenty-two billion, five hundred thirty-two million, two thousand, four hundred".