284724960 has 192 divisors, whose sum is σ = 977453568. Its totient is φ = 69249024.

The previous prime is 284724949. The next prime is 284724971. The reversal of 284724960 is 69427482.

It is an interprime number because it is at equal distance from previous prime (284724949) and next prime (284724971).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 642499 + ... + 642941.

It is an arithmetic number, because the mean of its divisors is an integer number (5090904).

Almost surely, 2^284724960 is an apocalyptic number.

284724960 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 284724960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488726784).

284724960 is an abundant number, since it is smaller than the sum of its proper divisors (692728608).

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

284724960 is a wasteful number, since it uses less digits than its factorization.

284724960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 577 (or 569 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 284724960 is about 16873.7950680930. The cubic root of 284724960 is about 657.8726730161.

The spelling of 284724960 in words is "two hundred eighty-four million, seven hundred twenty-four thousand, nine hundred sixty".