284442752 has 64 divisors (see below), whose sum is σ = 621302400. Its totient is φ = 128640000.

The previous prime is 284442751. The next prime is 284442773. The reversal of 284442752 is 257244482.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (284442751) 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, 378377 + ... + 379127.

It is an arithmetic number, because the mean of its divisors is an integer number (9707850).

Almost surely, 2^284442752 is an apocalyptic number.

284442752 is a gapful number since it is divisible by the number (22) 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 284442752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310651200).

284442752 is an abundant number, since it is smaller than the sum of its proper divisors (336859648).

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

284442752 is a wasteful number, since it uses less digits than its factorization.

284442752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1045 (or 1033 counting only the distinct ones).

The product of its digits is 143360, while the sum is 38.

The square root of 284442752 is about 16865.4306793512. The cubic root of 284442752 is about 657.6552488000.

The spelling of 284442752 in words is "two hundred eighty-four million, four hundred forty-two thousand, seven hundred fifty-two".