284573940 has 192 divisors, whose sum is σ = 963809280. Its totient is φ = 61332480.

The previous prime is 284573911. The next prime is 284573941. The reversal of 284573940 is 49375482.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 284573892 and 284573901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (284573941) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 859575 + ... + 859905.

It is an arithmetic number, because the mean of its divisors is an integer number (5019840).

Almost surely, 2^284573940 is an apocalyptic number.

284573940 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 284573940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481904640).

284573940 is an abundant number, since it is smaller than the sum of its proper divisors (679235340).

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

284573940 is a wasteful number, since it uses less digits than its factorization.

284573940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The square root of 284573940 is about 16869.3194883493. The cubic root of 284573940 is about 657.7563391081.

The spelling of 284573940 in words is "two hundred eighty-four million, five hundred seventy-three thousand, nine hundred forty".