284050000 has 240 divisors, whose sum is σ = 813697920. Its totient is φ = 95040000.

The previous prime is 284049973. The next prime is 284050027. The reversal of 284050000 is 50482.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (284049973) and next prime (284050027).

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a self number, because there is not a number n which added to its sum of digits gives 284050000.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 12349989 + ... + 12350011.

It is an arithmetic number, because the mean of its divisors is an integer number (3390408).

Almost surely, 2^284050000 is an apocalyptic number.

284050000 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 284050000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406848960).

284050000 is an abundant number, since it is smaller than the sum of its proper divisors (529647920).

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

284050000 is a wasteful number, since it uses less digits than its factorization.

284050000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 284050000 is about 16853.7829581373. The cubic root of 284050000 is about 657.3524176369.

The spelling of 284050000 in words is "two hundred eighty-four million, fifty thousand".