638725248 has 192 divisors, whose sum is σ = 2123721600. Its totient is φ = 180486144.

The previous prime is 638725247. The next prime is 638725273. The reversal of 638725248 is 842527836.

638725248 is a `hidden beast` number, since 6 + 387 + 25 + 248 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (638725247) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 830208 + ... + 830976.

It is an arithmetic number, because the mean of its divisors is an integer number (11061050).

Almost surely, 2^638725248 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 638725248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1061860800).

638725248 is an abundant number, since it is smaller than the sum of its proper divisors (1484996352).

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

638725248 is a wasteful number, since it uses less digits than its factorization.

638725248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 899 (or 884 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 638725248 is about 25273.0142246626. The cubic root of 638725248 is about 861.2013353134.

The spelling of 638725248 in words is "six hundred thirty-eight million, seven hundred twenty-five thousand, two hundred forty-eight".