432424100400 has 120 divisors (see below), whose sum is σ = 1386806952960. Its totient is φ = 115179198720.

The previous prime is 432424100369. The next prime is 432424100441. The reversal of 432424100400 is 4001424234.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

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

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 23 ways as a sum of consecutive naturals, for example, 826821 + ... + 1244379.

It is an arithmetic number, because the mean of its divisors is an integer number (11556724608).

Almost surely, 2^432424100400 is an apocalyptic number.

432424100400 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 432424100400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (693403476480).

432424100400 is an abundant number, since it is smaller than the sum of its proper divisors (954382852560).

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

432424100400 is a wasteful number, since it uses less digits than its factorization.

432424100400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418443 (or 418432 counting only the distinct ones).

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

Adding to 432424100400 its reverse (4001424234), we get a palindrome (436425524634).

The spelling of 432424100400 in words is "four hundred thirty-two billion, four hundred twenty-four million, one hundred thousand, four hundred".