284696640 has 224 divisors, whose sum is σ = 1019007360. Its totient is φ = 74815488.

The previous prime is 284696639. The next prime is 284696641. The reversal of 284696640 is 46696482.

It is an interprime number because it is at equal distance from previous prime (284696639) and next prime (284696641).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (284696641) 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, 716922 + ... + 717318.

It is an arithmetic number, because the mean of its divisors is an integer number (4549140).

Almost surely, 2^284696640 is an apocalyptic number.

284696640 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 284696640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509503680).

284696640 is an abundant number, since it is smaller than the sum of its proper divisors (734310720).

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

284696640 is a wasteful number, since it uses less digits than its factorization.

284696640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 284696640 is about 16872.9558761943. The cubic root of 284696640 is about 657.8508606540.

The spelling of 284696640 in words is "two hundred eighty-four million, six hundred ninety-six thousand, six hundred forty".