284048640 has 144 divisors (see below), whose sum is σ = 1008100800. Its totient is φ = 75737088.

The previous prime is 284048617. The next prime is 284048717. The reversal of 284048640 is 46840482.

284048640 is a `hidden beast` number, since 2 + 8 + 4 + 0 + 4 + 8 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a junction number, because it is equal to n+sod(n) for n = 284048595 and 284048604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30451 + ... + 38669.

It is an arithmetic number, because the mean of its divisors is an integer number (7000700).

Almost surely, 2^284048640 is an apocalyptic number.

284048640 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 284048640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504050400).

284048640 is an abundant number, since it is smaller than the sum of its proper divisors (724052160).

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

284048640 is an equidigital number, since it uses as much as digits as its factorization.

284048640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8249 (or 8229 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 284048640 is about 16853.7426110642. The cubic root of 284048640 is about 657.3513685249.

The spelling of 284048640 in words is "two hundred eighty-four million, forty-eight thousand, six hundred forty".