638254080 has 396 divisors, whose sum is σ = 2417343240. Its totient is φ = 161243136.

The previous prime is 638254079. The next prime is 638254087. The reversal of 638254080 is 80452836.

638254080 is a `hidden beast` number, since 6 + 38 + 2 + 540 + 80 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (638254087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 33592311 + ... + 33592329.

Almost surely, 2^638254080 is an apocalyptic number.

638254080 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 638254080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1208671620).

638254080 is an abundant number, since it is smaller than the sum of its proper divisors (1779089160).

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

638254080 is an frugal number, since it uses more digits than its factorization.

638254080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 638254080 is about 25263.6909417448. The cubic root of 638254080 is about 860.9895226299.

The spelling of 638254080 in words is "six hundred thirty-eight million, two hundred fifty-four thousand, eighty".