432994000 has 80 divisors (see below), whose sum is σ = 1054731600. Its totient is φ = 171916800.

The previous prime is 432993947. The next prime is 432994013. The reversal of 432994000 is 499234.

It can be written as a sum of positive squares in 8 ways, for example, as 103063104 + 329930896 = 10152^2 + 18164^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 297274 + ... + 298726.

It is an arithmetic number, because the mean of its divisors is an integer number (13184145).

Almost surely, 2^432994000 is an apocalyptic number.

432994000 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 432994000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527365800).

432994000 is an abundant number, since it is smaller than the sum of its proper divisors (621737600).

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

432994000 is a wasteful number, since it uses less digits than its factorization.

432994000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1625 (or 1609 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 31.

The square root of 432994000 is about 20808.5078753860. The cubic root of 432994000 is about 756.5319828162.

The spelling of 432994000 in words is "four hundred thirty-two million, nine hundred ninety-four thousand".