432986400 has 648 divisors, whose sum is σ = 1945000512. Its totient is φ = 88704000.

The previous prime is 432986387. The next prime is 432986417. The reversal of 432986400 is 4689234.

It is a happy number.

432986400 is a `hidden beast` number, since 4 + 3 + 2 + 9 + 8 + 640 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 6098365 + ... + 6098435.

It is an arithmetic number, because the mean of its divisors is an integer number (3001544).

Almost surely, 2^432986400 is an apocalyptic number.

432986400 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 432986400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (972500256).

432986400 is an abundant number, since it is smaller than the sum of its proper divisors (1512014112).

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

432986400 is a wasteful number, since it uses less digits than its factorization.

432986400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 432986400 is about 20808.3252569735. The cubic root of 432986400 is about 756.5275565218.

The spelling of 432986400 in words is "four hundred thirty-two million, nine hundred eighty-six thousand, four hundred".