284380320 has 288 divisors, whose sum is σ = 1061097408. Its totient is φ = 63823872.

The previous prime is 284380309. The next prime is 284380331. The reversal of 284380320 is 23083482.

It is an interprime number because it is at equal distance from previous prime (284380309) and next prime (284380331).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 2516584 + ... + 2516696.

It is an arithmetic number, because the mean of its divisors is an integer number (3684366).

Almost surely, 2^284380320 is an apocalyptic number.

284380320 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 284380320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530548704).

284380320 is an abundant number, since it is smaller than the sum of its proper divisors (776717088).

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

284380320 is a wasteful number, since it uses less digits than its factorization.

284380320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 284380320 is about 16863.5796911569. The cubic root of 284380320 is about 657.6071292909.

The spelling of 284380320 in words is "two hundred eighty-four million, three hundred eighty thousand, three hundred twenty".