432138240 has 240 divisors, whose sum is σ = 1551890340. Its totient is φ = 115015680.

The previous prime is 432138229. The next prime is 432138241. The reversal of 432138240 is 42831234.

It can be written as a sum of positive squares in 2 ways, for example, as 418120704 + 14017536 = 20448^2 + 3744^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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

It is not an unprimeable number, because it can be changed into a prime (432138241) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 829180 + ... + 829700.

Almost surely, 2^432138240 is an apocalyptic number.

432138240 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 432138240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (775945170).

432138240 is an abundant number, since it is smaller than the sum of its proper divisors (1119752100).

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

432138240 is an equidigital number, since it uses as much as digits as its factorization.

432138240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 432138240 is about 20787.9349623766. The cubic root of 432138240 is about 756.0332562846.

Adding to 432138240 its reverse (42831234), we get a palindrome (474969474).

The spelling of 432138240 in words is "four hundred thirty-two million, one hundred thirty-eight thousand, two hundred forty".