284099680 has 48 divisors (see below), whose sum is σ = 700376544. Its totient is φ = 108697600.

The previous prime is 284099677. The next prime is 284099687. The reversal of 284099680 is 86990482.

It is a super-2 number, since 2×284099680² = 161425256352204800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a self number, because there is not a number n which added to its sum of digits gives 284099680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (284099687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34921 + ... + 42280.

It is an arithmetic number, because the mean of its divisors is an integer number (14591178).

Almost surely, 2^284099680 is an apocalyptic number.

284099680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

284099680 is an abundant number, since it is smaller than the sum of its proper divisors (416276864).

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

284099680 is a wasteful number, since it uses less digits than its factorization.

284099680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77239 (or 77231 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 46.

The square root of 284099680 is about 16855.2567467838. The cubic root of 284099680 is about 657.3907387827.

The spelling of 284099680 in words is "two hundred eighty-four million, ninety-nine thousand, six hundred eighty".