284335380 has 384 divisors, whose sum is σ = 1103155200. Its totient is φ = 59346432.

The previous prime is 284335367. The next prime is 284335391. The reversal of 284335380 is 83533482.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2657287 + ... + 2657393.

It is an arithmetic number, because the mean of its divisors is an integer number (2872800).

Almost surely, 2^284335380 is an apocalyptic number.

284335380 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 284335380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551577600).

284335380 is an abundant number, since it is smaller than the sum of its proper divisors (818819820).

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

284335380 is a wasteful number, since it uses less digits than its factorization.

284335380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 284335380 is about 16862.2471812033. The cubic root of 284335380 is about 657.5724873939.

The spelling of 284335380 in words is "two hundred eighty-four million, three hundred thirty-five thousand, three hundred eighty".