432941040 has 480 divisors, whose sum is σ = 1827311616. Its totient is φ = 89579520.

The previous prime is 432941021. The next prime is 432941053. The reversal of 432941040 is 40149234.

It is a junction number, because it is equal to n+sod(n) for n = 432940995 and 432941013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2655999 + ... + 2656161.

Almost surely, 2^432941040 is an apocalyptic number.

432941040 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 432941040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (913655808).

432941040 is an abundant number, since it is smaller than the sum of its proper divisors (1394370576).

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

432941040 is a wasteful number, since it uses less digits than its factorization.

432941040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 432941040 is about 20807.2352800654. The cubic root of 432941040 is about 756.5011374562.

It can be divided in two parts, 4329 and 41040, that added together give a square (45369 = 213²).

The spelling of 432941040 in words is "four hundred thirty-two million, nine hundred forty-one thousand, forty".