432732240 has 160 divisors (see below), whose sum is σ = 1507939200. Its totient is φ = 114048000.

The previous prime is 432732221. The next prime is 432732241. The reversal of 432732240 is 42237234.

432732240 is a `hidden beast` number, since 432 + 7 + 3 + 224 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (432732241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 191115 + ... + 193365.

It is an arithmetic number, because the mean of its divisors is an integer number (9424620).

Almost surely, 2^432732240 is an apocalyptic number.

432732240 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 432732240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (753969600).

432732240 is an abundant number, since it is smaller than the sum of its proper divisors (1075206960).

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

432732240 is a wasteful number, since it uses less digits than its factorization.

432732240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2362 (or 2350 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 27.

The square root of 432732240 is about 20802.2171895209. The cubic root of 432732240 is about 756.3795020808.

Adding to 432732240 its reverse (42237234), we get a palindrome (474969474).

The spelling of 432732240 in words is "four hundred thirty-two million, seven hundred thirty-two thousand, two hundred forty".