284399280 has 240 divisors, whose sum is σ = 1053280800. Its totient is φ = 68198400.

The previous prime is 284399267. The next prime is 284399281. The reversal of 284399280 is 82993482.

284399280 is a `hidden beast` number, since 284 + 3 + 99 + 280 = 666.

284399280 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (284399281) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1179960 + ... + 1180200.

It is an arithmetic number, because the mean of its divisors is an integer number (4388670).

Almost surely, 2^284399280 is an apocalyptic number.

284399280 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 284399280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526640400).

284399280 is an abundant number, since it is smaller than the sum of its proper divisors (768881520).

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

284399280 is a wasteful number, since it uses less digits than its factorization.

284399280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 284399280 is about 16864.1418400107. The cubic root of 284399280 is about 657.6217434692.

Adding to 284399280 its sum of digits (45), we get a triangular number (284399325 = T₂₃₈₄₉).

The spelling of 284399280 in words is "two hundred eighty-four million, three hundred ninety-nine thousand, two hundred eighty".