432729252 has 36 divisors (see below), whose sum is σ = 1120526316. Its totient is φ = 140724480.

The previous prime is 432729247. The next prime is 432729257. The reversal of 432729252 is 252927234.

It is an interprime number because it is at equal distance from previous prime (432729247) and next prime (432729257).

It can be written as a sum of positive squares in 2 ways, for example, as 49196196 + 383533056 = 7014^2 + 19584^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an alternating number because its digits alternate between even and odd.

It is not an unprimeable number, because it can be changed into a prime (432729257) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 145113 + ... + 148064.

It is an arithmetic number, because the mean of its divisors is an integer number (31125731).

Almost surely, 2^432729252 is an apocalyptic number.

It is an amenable number.

432729252 is an abundant number, since it is smaller than the sum of its proper divisors (687797064).

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

432729252 is a wasteful number, since it uses less digits than its factorization.

432729252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293228 (or 293223 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 432729252 is about 20802.1453701295. The cubic root of 432729252 is about 756.3777611527.

The spelling of 432729252 in words is "four hundred thirty-two million, seven hundred twenty-nine thousand, two hundred fifty-two".