432015540 has 192 divisors, whose sum is σ = 1420554240. Its totient is φ = 96975360.

The previous prime is 432015497. The next prime is 432015569. The reversal of 432015540 is 45510234.

It is a self number, because there is not a number n which added to its sum of digits gives 432015540.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 589014 + ... + 589746.

It is an arithmetic number, because the mean of its divisors is an integer number (7398720).

Almost surely, 2^432015540 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 432015540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (710277120).

432015540 is an abundant number, since it is smaller than the sum of its proper divisors (988538700).

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

432015540 is a wasteful number, since it uses less digits than its factorization.

432015540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 822 (or 820 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 432015540 is about 20784.9835217640. The cubic root of 432015540 is about 755.9616942602.

Adding to 432015540 its reverse (45510234), we get a palindrome (477525774).

The spelling of 432015540 in words is "four hundred thirty-two million, fifteen thousand, five hundred forty".