432011440 has 120 divisors (see below), whose sum is σ = 1176567552. Its totient is φ = 147087360.

The previous prime is 432011413. The next prime is 432011449. The reversal of 432011440 is 44110234.

It is not an unprimeable number, because it can be changed into a prime (432011449) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 748432 + ... + 749008.

Almost surely, 2^432011440 is an apocalyptic number.

432011440 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 432011440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (588283776).

432011440 is an abundant number, since it is smaller than the sum of its proper divisors (744556112).

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

432011440 is a wasteful number, since it uses less digits than its factorization.

432011440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 795 (or 782 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 432011440 is about 20784.8848926329. The cubic root of 432011440 is about 755.9593027932.

Adding to 432011440 its reverse (44110234), we get a palindrome (476121674).

The spelling of 432011440 in words is "four hundred thirty-two million, eleven thousand, four hundred forty".