432313040 has 40 divisors (see below), whose sum is σ = 1006174440. Its totient is φ = 172745216.

The previous prime is 432313033. The next prime is 432313051. The reversal of 432313040 is 40313234.

It can be written as a sum of positive squares in 4 ways, for example, as 157151296 + 275161744 = 12536^2 + 16588^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 96122 + ... + 100518.

It is an arithmetic number, because the mean of its divisors is an integer number (25154361).

Almost surely, 2^432313040 is an apocalyptic number.

432313040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

432313040 is an abundant number, since it is smaller than the sum of its proper divisors (573861400).

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

432313040 is a wasteful number, since it uses less digits than its factorization.

432313040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5639 (or 5633 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 432313040 is about 20792.1388991128. The cubic root of 432313040 is about 756.1351810748.

Adding to 432313040 its reverse (40313234), we get a palindrome (472626274).

The spelling of 432313040 in words is "four hundred thirty-two million, three hundred thirteen thousand, forty".