284494080 has 288 divisors, whose sum is σ = 1009572480. Its totient is φ = 67829760.

The previous prime is 284494079. The next prime is 284494103. The reversal of 284494080 is 80494482.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2046651 + ... + 2046789.

It is an arithmetic number, because the mean of its divisors is an integer number (3505460).

Almost surely, 2^284494080 is an apocalyptic number.

284494080 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 284494080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504786240).

284494080 is an abundant number, since it is smaller than the sum of its proper divisors (725078400).

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

284494080 is a wasteful number, since it uses less digits than its factorization.

284494080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The square root of 284494080 is about 16866.9523032467. The cubic root of 284494080 is about 657.6948046194.

The spelling of 284494080 in words is "two hundred eighty-four million, four hundred ninety-four thousand, eighty".