432890880 has 88 divisors (see below), whose sum is σ = 1384623552. Its totient is φ = 115433472.

The previous prime is 432890879. The next prime is 432890881. The reversal of 432890880 is 88098234.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (432890879) and next prime (432890881).

It is not an unprimeable number, because it can be changed into a prime (432890881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1269 + ... + 29451.

Almost surely, 2^432890880 is an apocalyptic number.

432890880 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 432890880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (692311776).

432890880 is an abundant number, since it is smaller than the sum of its proper divisors (951732672).

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

432890880 is a wasteful number, since it uses less digits than its factorization.

432890880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28211 (or 28193 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The square root of 432890880 is about 20806.0298952011. The cubic root of 432890880 is about 756.4719205736.

The spelling of 432890880 in words is "four hundred thirty-two million, eight hundred ninety thousand, eight hundred eighty".