638125488 has 480 divisors, whose sum is σ = 2534837760. Its totient is φ = 144322560.

The previous prime is 638125471. The next prime is 638125519. The reversal of 638125488 is 884521836.

638125488 is a `hidden beast` number, since 638 + 1 + 2 + 5 + 4 + 8 + 8 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

Its product of digits (368640) is a multiple of the sum of its prime divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2738620 + ... + 2738852.

It is an arithmetic number, because the mean of its divisors is an integer number (5280912).

Almost surely, 2^638125488 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 638125488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1267418880).

638125488 is an abundant number, since it is smaller than the sum of its proper divisors (1896712272).

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

638125488 is a wasteful number, since it uses less digits than its factorization.

638125488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 288 counting only the distinct ones).

The product of its digits is 368640, while the sum is 45.

The square root of 638125488 is about 25261.1458172427. The cubic root of 638125488 is about 860.9316962331.

The spelling of 638125488 in words is "six hundred thirty-eight million, one hundred twenty-five thousand, four hundred eighty-eight".