284894820 has 360 divisors, whose sum is σ = 1078745976. Its totient is φ = 62705664.

The previous prime is 284894803. The next prime is 284894849. The reversal of 284894820 is 28498482.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 71267364 + 213627456 = 8442^2 + 14616^2 .

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 119 ways as a sum of consecutive naturals, for example, 2937012 + ... + 2937108.

Almost surely, 2^284894820 is an apocalyptic number.

284894820 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 284894820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539372988).

284894820 is an abundant number, since it is smaller than the sum of its proper divisors (793851156).

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

284894820 is a wasteful number, since it uses less digits than its factorization.

284894820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 284894820 is about 16878.8275659182. The cubic root of 284894820 is about 658.0034706321.

The spelling of 284894820 in words is "two hundred eighty-four million, eight hundred ninety-four thousand, eight hundred twenty".