284899680 has 480 divisors, whose sum is σ = 1152597600. Its totient is φ = 65691648.

The previous prime is 284899679. The next prime is 284899697. The reversal of 284899680 is 86998482.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3201076 + ... + 3201164.

It is an arithmetic number, because the mean of its divisors is an integer number (2401245).

Almost surely, 2^284899680 is an apocalyptic number.

284899680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 284899680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576298800).

284899680 is an abundant number, since it is smaller than the sum of its proper divisors (867697920).

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

284899680 is a wasteful number, since it uses less digits than its factorization.

284899680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The square root of 284899680 is about 16878.9715326497. The cubic root of 284899680 is about 658.0072122219.

The spelling of 284899680 in words is "two hundred eighty-four million, eight hundred ninety-nine thousand, six hundred eighty".