633042432 has 320 divisors, whose sum is σ = 2144862720. Its totient is φ = 182476800.

The previous prime is 633042427. The next prime is 633042439. The reversal of 633042432 is 234240336.

It is a happy number.

633042432 is a `hidden beast` number, since 633 + 0 + 4 + 24 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 633042396 and 633042405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (633042439) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3497382 + ... + 3497562.

It is an arithmetic number, because the mean of its divisors is an integer number (6702696).

Almost surely, 2^633042432 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 633042432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1072431360).

633042432 is an abundant number, since it is smaller than the sum of its proper divisors (1511820288).

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

633042432 is a wasteful number, since it uses less digits than its factorization.

633042432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

The square root of 633042432 is about 25160.3344969816. The cubic root of 633042432 is about 858.6396521127.

Adding to 633042432 its reverse (234240336), we get a palindrome (867282768).

The spelling of 633042432 in words is "six hundred thirty-three million, forty-two thousand, four hundred thirty-two".