432052000 has 48 divisors (see below), whose sum is σ = 1061561592. Its totient is φ = 172819200.

The previous prime is 432051989. The next prime is 432052007. The reversal of 432052000 is 250234.

It can be written as a sum of positive squares in 4 ways, for example, as 183548304 + 248503696 = 13548^2 + 15764^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (432052007) 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 7 ways as a sum of consecutive naturals, for example, 50007 + ... + 58006.

Almost surely, 2^432052000 is an apocalyptic number.

432052000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

432052000 is an abundant number, since it is smaller than the sum of its proper divisors (629509592).

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

432052000 is a wasteful number, since it uses less digits than its factorization.

432052000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108038 (or 108020 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 16.

The square root of 432052000 is about 20785.8605787684. The cubic root of 432052000 is about 755.9829601527.

The spelling of 432052000 in words is "four hundred thirty-two million, fifty-two thousand".