432062400 has 504 divisors, whose sum is σ = 1809634176. Its totient is φ = 89241600.

The previous prime is 432062363. The next prime is 432062401. The reversal of 432062400 is 4260234.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (432062401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2587117 + ... + 2587283.

It is an arithmetic number, because the mean of its divisors is an integer number (3590544).

Almost surely, 2^432062400 is an apocalyptic number.

432062400 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 432062400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (904817088).

432062400 is an abundant number, since it is smaller than the sum of its proper divisors (1377571776).

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

432062400 is a wasteful number, since it uses less digits than its factorization.

432062400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 432062400 is about 20786.1107473236. The cubic root of 432062400 is about 755.9890259038.

The spelling of 432062400 in words is "four hundred thirty-two million, sixty-two thousand, four hundred".