432311440 has 80 divisors (see below), whose sum is σ = 1106804160. Its totient is φ = 155727360.

The previous prime is 432311423. The next prime is 432311447. The reversal of 432311440 is 44113234.

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

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (432311447) 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 15 ways as a sum of consecutive naturals, for example, 93667 + ... + 98173.

It is an arithmetic number, because the mean of its divisors is an integer number (13835052).

Almost surely, 2^432311440 is an apocalyptic number.

432311440 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 432311440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553402080).

432311440 is an abundant number, since it is smaller than the sum of its proper divisors (674492720).

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

432311440 is a wasteful number, since it uses less digits than its factorization.

432311440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4640 (or 4634 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 432311440 is about 20792.1004229972. The cubic root of 432311440 is about 756.1342482494.

Adding to 432311440 its reverse (44113234), we get a palindrome (476424674).

The spelling of 432311440 in words is "four hundred thirty-two million, three hundred eleven thousand, four hundred forty".