432329040 has 720 divisors, whose sum is σ = 1911574080. Its totient is φ = 86261760.

The previous prime is 432328997. The next prime is 432329063. The reversal of 432329040 is 40923234.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (720).

It is a junction number, because it is equal to n+sod(n) for n = 432328995 and 432329013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 22754151 + ... + 22754169.

It is an arithmetic number, because the mean of its divisors is an integer number (2654964).

Almost surely, 2^432329040 is an apocalyptic number.

432329040 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 432329040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (955787040).

432329040 is an abundant number, since it is smaller than the sum of its proper divisors (1479245040).

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

432329040 is a wasteful number, since it uses less digits than its factorization.

432329040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 432329040 is about 20792.5236563530. The cubic root of 432329040 is about 756.1445092024.

The spelling of 432329040 in words is "four hundred thirty-two million, three hundred twenty-nine thousand, forty".