432313440 has 192 divisors, whose sum is σ = 1517745600. Its totient is φ = 102703104.

The previous prime is 432313433. The next prime is 432313447. The reversal of 432313440 is 44313234.

It is an interprime number because it is at equal distance from previous prime (432313433) and next prime (432313447).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 432313440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (432313447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 179766 + ... + 182154.

It is an arithmetic number, because the mean of its divisors is an integer number (7904925).

Almost surely, 2^432313440 is an apocalyptic number.

432313440 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 432313440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (758872800).

432313440 is an abundant number, since it is smaller than the sum of its proper divisors (1085432160).

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

432313440 is a wasteful number, since it uses less digits than its factorization.

432313440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2449 (or 2441 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 432313440 is about 20792.1485181306. The cubic root of 432313440 is about 756.1354142808.

Adding to 432313440 its reverse (44313234), we get a palindrome (476626674).

The spelling of 432313440 in words is "four hundred thirty-two million, three hundred thirteen thousand, four hundred forty".