632138408 has 48 divisors (see below), whose sum is σ = 1310722560. Its totient is φ = 283452000.

The previous prime is 632138401. The next prime is 632138459. The reversal of 632138408 is 804831236.

It is a happy number.

632138408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (632138401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 548633 + ... + 549783.

It is an arithmetic number, because the mean of its divisors is an integer number (27306720).

Almost surely, 2^632138408 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 632138408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655361280).

632138408 is an abundant number, since it is smaller than the sum of its proper divisors (678584152).

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

632138408 is a wasteful number, since it uses less digits than its factorization.

632138408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1326 (or 1243 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 35.

The square root of 632138408 is about 25142.3628165692. The cubic root of 632138408 is about 858.2307271029.

The spelling of 632138408 in words is "six hundred thirty-two million, one hundred thirty-eight thousand, four hundred eight".