432908729764 has 27 divisors (see below), whose sum is σ = 881297237793. Its totient is φ = 185528365008.

The previous prime is 432908729761. The next prime is 432908729767. The reversal of 432908729764 is 467927809234.

It is a happy number.

The square root of 432908729764 is 657958.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (432908729761) and next prime (432908729767).

It can be written as a sum of positive squares in only one way, i.e., 203283756900 + 229624972864 = 450870^2 + 479192^2 .

It is not an unprimeable number, because it can be changed into a prime (432908729761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 9187914 + ... + 9234910.

Almost surely, 2^432908729764 is an apocalyptic number.

432908729764 is the 657958-th square number.

It is an amenable number.

432908729764 is an abundant number, since it is smaller than the sum of its proper divisors (448388508029).

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

432908729764 is an frugal number, since it uses more digits than its factorization.

432908729764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94012 (or 47006 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 61.

The spelling of 432908729764 in words is "four hundred thirty-two billion, nine hundred eight million, seven hundred twenty-nine thousand, seven hundred sixty-four".