432603648 has 120 divisors (see below), whose sum is σ = 1256755500. Its totient is φ = 143253504.

The previous prime is 432603629. The next prime is 432603683. The reversal of 432603648 is 846306234.

It is a happy number.

432603648 is a `hidden beast` number, since 4 + 3 + 2 + 6 + 0 + 3 + 648 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 424030464 + 8573184 = 20592^2 + 2928^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1239378 + ... + 1239726.

Almost surely, 2^432603648 is an apocalyptic number.

432603648 is a gapful number since it is divisible by the number (48) 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 432603648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628377750).

432603648 is an abundant number, since it is smaller than the sum of its proper divisors (824151852).

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

432603648 is a wasteful number, since it uses less digits than its factorization.

432603648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 642 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 432603648 is about 20799.1261354894. The cubic root of 432603648 is about 756.3045719971.

The spelling of 432603648 in words is "four hundred thirty-two million, six hundred three thousand, six hundred forty-eight".