633849048 has 192 divisors, whose sum is σ = 2036923200. Its totient is φ = 174320640.

The previous prime is 633849043. The next prime is 633849049. The reversal of 633849048 is 840948336.

633849048 is a `hidden beast` number, since 633 + 8 + 4 + 9 + 0 + 4 + 8 = 666.

633849048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 633848994 and 633849012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (633849043) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1629238 + ... + 1629626.

It is an arithmetic number, because the mean of its divisors is an integer number (10608975).

Almost surely, 2^633849048 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 633849048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1018461600).

633849048 is an abundant number, since it is smaller than the sum of its proper divisors (1403074152).

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

633849048 is a wasteful number, since it uses less digits than its factorization.

633849048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 633849048 is about 25176.3589106924. The cubic root of 633849048 is about 859.0041871950.

The spelling of 633849048 in words is "six hundred thirty-three million, eight hundred forty-nine thousand, forty-eight".