432056400 has 180 divisors, whose sum is σ = 1427846112. Its totient is φ = 111674880.

The previous prime is 432056399. The next prime is 432056407. The reversal of 432056400 is 4650234.

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 (432056407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1642669 + ... + 1642931.

Almost surely, 2^432056400 is an apocalyptic number.

432056400 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 432056400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (713923056).

432056400 is an abundant number, since it is smaller than the sum of its proper divisors (995789712).

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

432056400 is a wasteful number, since it uses less digits than its factorization.

432056400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 432056400 is about 20785.9664196784. The cubic root of 432056400 is about 755.9855264439.

The spelling of 432056400 in words is "four hundred thirty-two million, fifty-six thousand, four hundred".