633397248 has 252 divisors, whose sum is σ = 2039486904. Its totient is φ = 189235200.

The previous prime is 633397231. The next prime is 633397249. The reversal of 633397248 is 842793336.

633397248 is a `hidden beast` number, since 633 + 3 + 9 + 7 + 2 + 4 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (633397249) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 8921053 + ... + 8921123.

It is an arithmetic number, because the mean of its divisors is an integer number (8093202).

Almost surely, 2^633397248 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 633397248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1019743452).

633397248 is an abundant number, since it is smaller than the sum of its proper divisors (1406089656).

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

633397248 is a wasteful number, since it uses less digits than its factorization.

633397248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 87 counting only the distinct ones).

The product of its digits is 653184, while the sum is 45.

The square root of 633397248 is about 25167.3846078610. The cubic root of 633397248 is about 858.8000427223.

The spelling of 633397248 in words is "six hundred thirty-three million, three hundred ninety-seven thousand, two hundred forty-eight".