638493000 has 256 divisors, whose sum is σ = 2122848000. Its totient is φ = 159488000.

The previous prime is 638492993. The next prime is 638493059. The reversal of 638493000 is 394836.

It is a super-2 number, since 2×638493000² = 815346622098000000, which contains 22 as substring.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 3566911 + ... + 3567089.

It is an arithmetic number, because the mean of its divisors is an integer number (8292375).

Almost surely, 2^638493000 is an apocalyptic number.

638493000 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 638493000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1061424000).

638493000 is an abundant number, since it is smaller than the sum of its proper divisors (1484355000).

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

638493000 is a wasteful number, since it uses less digits than its factorization.

638493000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 638493000 is about 25268.4190245452. The cubic root of 638493000 is about 861.0969416869.

The spelling of 638493000 in words is "six hundred thirty-eight million, four hundred ninety-three thousand".