284266125 has 256 divisors, whose sum is σ = 670924800. Its totient is φ = 116640000.

The previous prime is 284266121. The next prime is 284266133. The reversal of 284266125 is 521662482.

It is a happy number.

It is not a de Polignac number, because 284266125 - 2² = 284266121 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 284266125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (284266121) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 9169860 + ... + 9169890.

It is an arithmetic number, because the mean of its divisors is an integer number (2620800).

Almost surely, 2^284266125 is an apocalyptic number.

284266125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

284266125 is an abundant number, since it is smaller than the sum of its proper divisors (386658675).

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

284266125 is a wasteful number, since it uses less digits than its factorization.

284266125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 82 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 284266125 is about 16860.1935042276. The cubic root of 284266125 is about 657.5190951868.

The spelling of 284266125 in words is "two hundred eighty-four million, two hundred sixty-six thousand, one hundred twenty-five".