432623400 has 288 divisors, whose sum is σ = 1513965600. Its totient is φ = 102080000.

The previous prime is 432623371. The next prime is 432623419. The reversal of 432623400 is 4326234.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4283350 + ... + 4283450.

It is an arithmetic number, because the mean of its divisors is an integer number (5256825).

Almost surely, 2^432623400 is an apocalyptic number.

432623400 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 432623400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (756982800).

432623400 is an abundant number, since it is smaller than the sum of its proper divisors (1081342200).

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

432623400 is a wasteful number, since it uses less digits than its factorization.

432623400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 181 counting only the distinct ones).

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

The square root of 432623400 is about 20799.6009577107. The cubic root of 432623400 is about 756.3160823797.

Adding to 432623400 its reverse (4326234), we get a palindrome (436949634).

432623400 divided by its reverse (4326234) gives a square (100 = 10²).

The spelling of 432623400 in words is "four hundred thirty-two million, six hundred twenty-three thousand, four hundred".