432332240 has 80 divisors (see below), whose sum is σ = 1034100480. Its totient is φ = 168030720.

The previous prime is 432332233. The next prime is 432332279. The reversal of 432332240 is 42233234.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×432332240² = 373822331486835200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 422930 + ... + 423950.

It is an arithmetic number, because the mean of its divisors is an integer number (12926256).

Almost surely, 2^432332240 is an apocalyptic number.

432332240 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 432332240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517050240).

432332240 is an abundant number, since it is smaller than the sum of its proper divisors (601768240).

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

432332240 is a wasteful number, since it uses less digits than its factorization.

432332240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1180 (or 1174 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 23.

The square root of 432332240 is about 20792.6006069467. The cubic root of 432332240 is about 756.1463748003.

Adding to 432332240 its reverse (42233234), we get a palindrome (474565474).

It can be divided in two parts, 4323 and 32240, that added together give a palindrome (36563).

The spelling of 432332240 in words is "four hundred thirty-two million, three hundred thirty-two thousand, two hundred forty".