432160400 has 180 divisors, whose sum is σ = 1279809828. Its totient is φ = 139345920.

The previous prime is 432160381. The next prime is 432160423. The reversal of 432160400 is 4061234.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 56731024 + 375429376 = 7532^2 + 19376^2 .

It is a super-2 number, since 2×432160400² = 373525222656320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 332552 + ... + 333848.

Almost surely, 2^432160400 is an apocalyptic number.

432160400 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 432160400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639904914).

432160400 is an abundant number, since it is smaller than the sum of its proper divisors (847649428).

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

432160400 is a wasteful number, since it uses less digits than its factorization.

432160400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1346 (or 1328 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 432160400 is about 20788.4679570189. The cubic root of 432160400 is about 756.0461791636.

The spelling of 432160400 in words is "four hundred thirty-two million, one hundred sixty thousand, four hundred".