432755000 has 80 divisors (see below), whose sum is σ = 1039167360. Its totient is φ = 168800000.

The previous prime is 432754999. The next prime is 432755021. The reversal of 432755000 is 557234.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 203945 + ... + 206055.

It is an arithmetic number, because the mean of its divisors is an integer number (12989592).

Almost surely, 2^432755000 is an apocalyptic number.

432755000 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 432755000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519583680).

432755000 is an abundant number, since it is smaller than the sum of its proper divisors (606412360).

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

432755000 is a wasteful number, since it uses less digits than its factorization.

432755000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2178 (or 2159 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 26.

The square root of 432755000 is about 20802.7642393986. The cubic root of 432755000 is about 756.3927627026.

The spelling of 432755000 in words is "four hundred thirty-two million, seven hundred fifty-five thousand".