284947200 has 432 divisors, whose sum is σ = 1117740960. Its totient is φ = 70778880.

The previous prime is 284947193. The next prime is 284947231. The reversal of 284947200 is 2749482.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2937552 + ... + 2937648.

Almost surely, 2^284947200 is an apocalyptic number.

284947200 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 284947200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558870480).

284947200 is an abundant number, since it is smaller than the sum of its proper divisors (832793760).

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

284947200 is a wasteful number, since it uses less digits than its factorization.

284947200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 284947200 is about 16880.3791426615. The cubic root of 284947200 is about 658.0437944139.

The spelling of 284947200 in words is "two hundred eighty-four million, nine hundred forty-seven thousand, two hundred".