284938080 has 192 divisors, whose sum is σ = 1034933760. Its totient is φ = 64548864.

The previous prime is 284938061. The next prime is 284938097. The reversal of 284938080 is 80839482.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 460011 + ... + 460629.

It is an arithmetic number, because the mean of its divisors is an integer number (5390280).

Almost surely, 2^284938080 is an apocalyptic number.

284938080 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 284938080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517466880).

284938080 is an abundant number, since it is smaller than the sum of its proper divisors (749995680).

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

284938080 is a wasteful number, since it uses less digits than its factorization.

284938080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 781 (or 773 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The square root of 284938080 is about 16880.1090043874. The cubic root of 284938080 is about 658.0367739046.

The spelling of 284938080 in words is "two hundred eighty-four million, nine hundred thirty-eight thousand, eighty".