432373032 has 128 divisors (see below), whose sum is σ = 1478265600. Its totient is φ = 114027264.

The previous prime is 432372973. The next prime is 432373103. The reversal of 432373032 is 230373234.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 432372987 and 432373005.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8658 + ... + 30654.

It is an arithmetic number, because the mean of its divisors is an integer number (11548950).

Almost surely, 2^432373032 is an apocalyptic number.

432373032 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 432373032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (739132800).

432373032 is an abundant number, since it is smaller than the sum of its proper divisors (1045892568).

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

432373032 is a wasteful number, since it uses less digits than its factorization.

432373032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22032 (or 22022 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 27.

The square root of 432373032 is about 20793.5815096871. The cubic root of 432373032 is about 756.1701557031.

The spelling of 432373032 in words is "four hundred thirty-two million, three hundred seventy-three thousand, thirty-two".