633873408 has 132 divisors (see below), whose sum is σ = 1965807792. Its totient is φ = 181063680.

The previous prime is 633873389. The next prime is 633873413. The reversal of 633873408 is 804378336.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 633873408.

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, 148423 + ... + 152633.

Almost surely, 2^633873408 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 633873408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (982903896).

633873408 is an abundant number, since it is smaller than the sum of its proper divisors (1331934384).

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

633873408 is a wasteful number, since it uses less digits than its factorization.

633873408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4248 (or 4223 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

The square root of 633873408 is about 25176.8426932370. The cubic root of 633873408 is about 859.0151914312.

It can be divided in two parts, 63387 and 3408, that added together give a triangular number (66795 = T₃₆₅).

The spelling of 633873408 in words is "six hundred thirty-three million, eight hundred seventy-three thousand, four hundred eight".