432103968 has 72 divisors (see below), whose sum is σ = 1232932428. Its totient is φ = 143549952.

The previous prime is 432103963. The next prime is 432104021. The reversal of 432103968 is 869301234.

It can be written as a sum of positive squares in 2 ways, for example, as 350887824 + 81216144 = 18732^2 + 9012^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×432103968² = 373427678322690048, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (432103963) 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, 88930 + ... + 93662.

Almost surely, 2^432103968 is an apocalyptic number.

432103968 is a gapful number since it is divisible by the number (48) 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 432103968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616466214).

432103968 is an abundant number, since it is smaller than the sum of its proper divisors (800828460).

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

432103968 is a wasteful number, since it uses less digits than its factorization.

432103968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5066 (or 5055 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 432103968 is about 20787.1106217290. The cubic root of 432103968 is about 756.0132692724.

The spelling of 432103968 in words is "four hundred thirty-two million, one hundred three thousand, nine hundred sixty-eight".