432998400 has 144 divisors (see below), whose sum is σ = 1431939600. Its totient is φ = 115425280.

The previous prime is 432998369. The next prime is 432998407. The reversal of 432998400 is 4899234.

It is a super-2 number, since 2×432998400² = 374975228805120000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (432998407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 152191 + ... + 155009.

It is an arithmetic number, because the mean of its divisors is an integer number (9944025).

Almost surely, 2^432998400 is an apocalyptic number.

432998400 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 432998400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (715969800).

432998400 is an abundant number, since it is smaller than the sum of its proper divisors (998941200).

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

432998400 is a wasteful number, since it uses less digits than its factorization.

432998400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2854 (or 2829 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 432998400 is about 20808.6136011028. The cubic root of 432998400 is about 756.5345453840.

The spelling of 432998400 in words is "four hundred thirty-two million, nine hundred ninety-eight thousand, four hundred".