284000460 has 24 divisors (see below), whose sum is σ = 795201456. Its totient is φ = 75733440.

The previous prime is 284000443. The next prime is 284000473. The reversal of 284000460 is 64000482.

It is a super-2 number, since 2×284000460² = 161312522560423200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 284000460.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2366611 + ... + 2366730.

It is an arithmetic number, because the mean of its divisors is an integer number (33133394).

Almost surely, 2^284000460 is an apocalyptic number.

284000460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

284000460 is an abundant number, since it is smaller than the sum of its proper divisors (511200996).

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

284000460 is a wasteful number, since it uses less digits than its factorization.

284000460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4733353 (or 4733351 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 284000460 is about 16852.3131943363. The cubic root of 284000460 is about 657.3142000318.

The spelling of 284000460 in words is "two hundred eighty-four million, four hundred sixty", and thus it is an aban number.