284740456 has 192 divisors, whose sum is σ = 760717440. Its totient is φ = 96422400.

The previous prime is 284740439. The next prime is 284740457. The reversal of 284740456 is 654047482.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (284740457) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7695670 + ... + 7695706.

It is an arithmetic number, because the mean of its divisors is an integer number (3962070).

Almost surely, 2^284740456 is an apocalyptic number.

284740456 is a gapful number since it is divisible by the number (26) 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 284740456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380358720).

284740456 is an abundant number, since it is smaller than the sum of its proper divisors (475976984).

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

284740456 is a wasteful number, since it uses less digits than its factorization.

It is an anagram of its base 9 representation: 284740456 = (654708424)₉.

284740456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 40.

The square root of 284740456 is about 16874.2542353729. The cubic root of 284740456 is about 657.8846075862.

The spelling of 284740456 in words is "two hundred eighty-four million, seven hundred forty thousand, four hundred fifty-six".