284851840 has 256 divisors, whose sum is σ = 862283520. Its totient is φ = 87588864.

The previous prime is 284851837. The next prime is 284851841. The reversal of 284851840 is 48158482.

It is a super-2 number, since 2×284851840² = 162281141502771200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 284851793 and 284851802.

It is not an unprimeable number, because it can be changed into a prime (284851841) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3902044 + ... + 3902116.

It is an arithmetic number, because the mean of its divisors is an integer number (3368295).

Almost surely, 2^284851840 is an apocalyptic number.

284851840 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 284851840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431141760).

284851840 is an abundant number, since it is smaller than the sum of its proper divisors (577431680).

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

284851840 is a wasteful number, since it uses less digits than its factorization.

284851840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 40.

The square root of 284851840 is about 16877.5543251977. The cubic root of 284851840 is about 657.9703795759.

The spelling of 284851840 in words is "two hundred eighty-four million, eight hundred fifty-one thousand, eight hundred forty".