284968100 has 18 divisors (see below), whose sum is σ = 618380994. Its totient is φ = 113987200.

The previous prime is 284968067. The next prime is 284968141. The reversal of 284968100 is 1869482.

It can be written as a sum of positive squares in 3 ways, for example, as 7279204 + 277688896 = 2698^2 + 16664^2 .

It is a super-2 number, since 2×284968100² = 162413636035220000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1424741 + ... + 1424940.

Almost surely, 2^284968100 is an apocalyptic number.

284968100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

284968100 is an abundant number, since it is smaller than the sum of its proper divisors (333412894).

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

284968100 is a wasteful number, since it uses less digits than its factorization.

284968100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2849695 (or 2849688 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 38.

The square root of 284968100 is about 16880.9981932349. The cubic root of 284968100 is about 658.0598825162.

The spelling of 284968100 in words is "two hundred eighty-four million, nine hundred sixty-eight thousand, one hundred".