284055040 has 160 divisors (see below), whose sum is σ = 739800864. Its totient is φ = 104202240.

The previous prime is 284055019. The next prime is 284055043. The reversal of 284055040 is 40550482.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (284055043) 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 15 ways as a sum of consecutive naturals, for example, 2654667 + ... + 2654773.

Almost surely, 2^284055040 is an apocalyptic number.

284055040 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 284055040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369900432).

284055040 is an abundant number, since it is smaller than the sum of its proper divisors (455745824).

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

284055040 is a wasteful number, since it uses less digits than its factorization.

284055040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 28.

The square root of 284055040 is about 16853.9324788015. The cubic root of 284055040 is about 657.3563054930.

The spelling of 284055040 in words is "two hundred eighty-four million, fifty-five thousand, forty".