432326400 has 432 divisors, whose sum is σ = 1642394880. Its totient is φ = 99123200.

The previous prime is 432326393. The next prime is 432326407. The reversal of 432326400 is 4623234.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (432326393) and next prime (432326407).

It is a super-2 number, since 2×432326400² = 373812232273920000, which contains 22 as substring.

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 (432326407) 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 47 ways as a sum of consecutive naturals, for example, 4857556 + ... + 4857644.

It is an arithmetic number, because the mean of its divisors is an integer number (3801840).

Almost surely, 2^432326400 is an apocalyptic number.

432326400 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 432326400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (821197440).

432326400 is an abundant number, since it is smaller than the sum of its proper divisors (1210068480).

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

432326400 is a wasteful number, since it uses less digits than its factorization.

432326400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 432326400 is about 20792.4601718989. The cubic root of 432326400 is about 756.1429700772.

Adding to 432326400 its reverse (4623234), we get a palindrome (436949634).

The spelling of 432326400 in words is "four hundred thirty-two million, three hundred twenty-six thousand, four hundred".