284968000 has 112 divisors (see below), whose sum is σ = 713232000. Its totient is φ = 112780800.

The previous prime is 284967997. The next prime is 284968037. The reversal of 284968000 is 869482.

It is a super-2 number, since 2×284968000² = 162413522048000000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1431901 + ... + 1432099.

Almost surely, 2^284968000 is an apocalyptic number.

284968000 is a gapful number since it is divisible by the number (20) 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 284968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356616000).

284968000 is an abundant number, since it is smaller than the sum of its proper divisors (428264000).

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

284968000 is a wasteful number, since it uses less digits than its factorization.

284968000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 37.

The square root of 284968000 is about 16880.9952313245. The cubic root of 284968000 is about 658.0598055415.

The spelling of 284968000 in words is "two hundred eighty-four million, nine hundred sixty-eight thousand".