284057316 has 45 divisors (see below), whose sum is σ = 731842111. Its totient is φ = 92899248.

The previous prime is 284057303. The next prime is 284057317. The reversal of 284057316 is 613750482.

The square root of 284057316 is 16854.

It is a perfect power (a square), and thus also a powerful number.

284057316 is a `hidden beast` number, since 2 + 84 + 0 + 573 + 1 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 55442916 + 228614400 = 7446^2 + 15120^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (284057317) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 5359546 + ... + 5359598.

Almost surely, 2^284057316 is an apocalyptic number.

284057316 is the 16854-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 284057316

284057316 is an abundant number, since it is smaller than the sum of its proper divisors (447784795).

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

284057316 is an frugal number, since it uses more digits than its factorization.

284057316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The cubic root of 284057316 is about 657.3580611844.

Multiplying 284057316 by its sum of digits (36), we get a 4-th power (10226063376 = 318⁴).

284057316 divided by its sum of digits (36) gives a 4-th power (7890481 = 53⁴).

It can be divided in two parts, 28405 and 7316, that added together give a square (35721 = 189²).

The spelling of 284057316 in words is "two hundred eighty-four million, fifty-seven thousand, three hundred sixteen".