284744880 has 240 divisors, whose sum is σ = 1116148800. Its totient is φ = 65028096.

The previous prime is 284744879. The next prime is 284744897. The reversal of 284744880 is 88447482.

It is a happy number.

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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 246384 + ... + 247536.

It is an arithmetic number, because the mean of its divisors is an integer number (4650620).

Almost surely, 2^284744880 is an apocalyptic number.

284744880 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 284744880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558074400).

284744880 is an abundant number, since it is smaller than the sum of its proper divisors (831403920).

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

284744880 is a wasteful number, since it uses less digits than its factorization.

284744880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1193 (or 1170 counting only the distinct ones).

The product of its (nonzero) digits is 458752, while the sum is 45.

The square root of 284744880 is about 16874.3853221384. The cubic root of 284744880 is about 657.8880147434. Note that the first 3 decimals are identical.

The spelling of 284744880 in words is "two hundred eighty-four million, seven hundred forty-four thousand, eight hundred eighty".