284240640 has 72 divisors (see below), whose sum is σ = 907805808. Its totient is φ = 75796480.

The previous prime is 284240639. The next prime is 284240641. The reversal of 284240640 is 46042482.

It is an interprime number because it is at equal distance from previous prime (284240639) and next prime (284240641).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 284240598 and 284240607.

It is not an unprimeable number, because it can be changed into a prime (284240641) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33171 + ... + 40850.

It is an arithmetic number, because the mean of its divisors is an integer number (12608414).

Almost surely, 2^284240640 is an apocalyptic number.

284240640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

284240640 is an abundant number, since it is smaller than the sum of its proper divisors (623565168).

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

284240640 is an equidigital number, since it uses as much as digits as its factorization.

284240640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74045 (or 74031 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

The square root of 284240640 is about 16859.4377130437. The cubic root of 284240640 is about 657.4994453194.

The spelling of 284240640 in words is "two hundred eighty-four million, two hundred forty thousand, six hundred forty".