432262240 has 48 divisors (see below), whose sum is σ = 1024098768. Its totient is φ = 172417536.

The previous prime is 432262199. The next prime is 432262241. The reversal of 432262240 is 42262234.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (432262241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56059 + ... + 63301.

It is an arithmetic number, because the mean of its divisors is an integer number (21335391).

Almost surely, 2^432262240 is an apocalyptic number.

432262240 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 432262240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512049384).

432262240 is an abundant number, since it is smaller than the sum of its proper divisors (591836528).

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

432262240 is a wasteful number, since it uses less digits than its factorization.

432262240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7631 (or 7623 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

The square root of 432262240 is about 20790.9172476829. The cubic root of 432262240 is about 756.1055627440.

The spelling of 432262240 in words is "four hundred thirty-two million, two hundred sixty-two thousand, two hundred forty".