432334240 has 96 divisors (see below), whose sum is σ = 1104969600. Its totient is φ = 158905344.

The previous prime is 432334223. The next prime is 432334283. The reversal of 432334240 is 42433234.

It is a super-3 number, since 3×432334240³ (a number of 27 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 721461 + ... + 722059.

It is an arithmetic number, because the mean of its divisors is an integer number (11510100).

Almost surely, 2^432334240 is an apocalyptic number.

432334240 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 432334240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552484800).

432334240 is an abundant number, since it is smaller than the sum of its proper divisors (672635360).

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

432334240 is a wasteful number, since it uses less digits than its factorization.

432334240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 974 (or 966 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 25.

The square root of 432334240 is about 20792.6487009231. The cubic root of 432334240 is about 756.1475407943.

Adding to 432334240 its reverse (42433234), we get a palindrome (474767474).

The spelling of 432334240 in words is "four hundred thirty-two million, three hundred thirty-four thousand, two hundred forty".