284561140 has 24 divisors (see below), whose sum is σ = 603743112. Its totient is φ = 112650240.

The previous prime is 284561093. The next prime is 284561149. The reversal of 284561140 is 41165482.

It can be written as a sum of positive squares in 4 ways, for example, as 39388176 + 245172964 = 6276^2 + 15658^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (284561149) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 71401 + ... + 75280.

It is an arithmetic number, because the mean of its divisors is an integer number (25155963).

Almost surely, 2^284561140 is an apocalyptic number.

284561140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

284561140 is an abundant number, since it is smaller than the sum of its proper divisors (319181972).

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

284561140 is a wasteful number, since it uses less digits than its factorization.

284561140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146787 (or 146785 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The square root of 284561140 is about 16868.9400971134. The cubic root of 284561140 is about 657.7464771049.

The spelling of 284561140 in words is "two hundred eighty-four million, five hundred sixty-one thousand, one hundred forty".