638280000 has 350 divisors, whose sum is σ = 2376322146. Its totient is φ = 169344000.

The previous prime is 638279951. The next prime is 638280001. The reversal of 638280000 is 82836.

638280000 is a `hidden beast` number, since 638 + 28 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 77158656 + 561121344 = 8784^2 + 23688^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (638280001) by changing a digit.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 3239902 + ... + 3240098.

Almost surely, 2^638280000 is an apocalyptic number.

638280000 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 638280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1188161073).

638280000 is an abundant number, since it is smaller than the sum of its proper divisors (1738042146).

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

638280000 is an equidigital number, since it uses as much as digits as its factorization.

638280000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 638280000 is about 25264.2039257128. The cubic root of 638280000 is about 861.0011776259.

The spelling of 638280000 in words is "six hundred thirty-eight million, two hundred eighty thousand".