432003660 has 192 divisors, whose sum is σ = 1412328960. Its totient is φ = 97505280.

The previous prime is 432003653. The next prime is 432003683. The reversal of 432003660 is 66300234.

432003660 = 7345² + 7346² + ... + 7352².

It is a self number, because there is not a number n which added to its sum of digits gives 432003660.

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, 1559442 + ... + 1559718.

It is an arithmetic number, because the mean of its divisors is an integer number (7355880).

Almost surely, 2^432003660 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 432003660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (706164480).

432003660 is an abundant number, since it is smaller than the sum of its proper divisors (980325300).

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

432003660 is a wasteful number, since it uses less digits than its factorization.

432003660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 432003660 is about 20784.6977365561. The cubic root of 432003660 is about 755.9547647971.

Adding to 432003660 its reverse (66300234), we get a palindrome (498303894).

The spelling of 432003660 in words is "four hundred thirty-two million, three thousand, six hundred sixty".