638120448 has 240 divisors, whose sum is σ = 2141458176. Its totient is φ = 179159040.

The previous prime is 638120443. The next prime is 638120467. The reversal of 638120448 is 844021836.

638120448 is a `hidden beast` number, since 638 + 12 + 0 + 4 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (638120443) 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, 2354553 + ... + 2354823.

Almost surely, 2^638120448 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 638120448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1070729088).

638120448 is an abundant number, since it is smaller than the sum of its proper divisors (1503337728).

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

638120448 is a wasteful number, since it uses less digits than its factorization.

638120448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 638120448 is about 25261.0460591006. The cubic root of 638120448 is about 860.9294296427.

The spelling of 638120448 in words is "six hundred thirty-eight million, one hundred twenty thousand, four hundred forty-eight".