432698112 has 360 divisors, whose sum is σ = 1614531072. Its totient is φ = 111974400.

The previous prime is 432698053. The next prime is 432698117. The reversal of 432698112 is 211896234.

It is a super-2 number, since 2×432698112² = 374455312256729088, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is not an unprimeable number, because it can be changed into a prime (432698117) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1596537 + ... + 1596807.

Almost surely, 2^432698112 is an apocalyptic number.

432698112 is a gapful number since it is divisible by the number (42) 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 432698112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (807265536).

432698112 is an abundant number, since it is smaller than the sum of its proper divisors (1181832960).

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

432698112 is a wasteful number, since it uses less digits than its factorization.

432698112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 294 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 432698112 is about 20801.3968761716. The cubic root of 432698112 is about 756.3596172684.

The spelling of 432698112 in words is "four hundred thirty-two million, six hundred ninety-eight thousand, one hundred twelve".