284402664 has 360 divisors, whose sum is σ = 1022342310. Its totient is φ = 73592064.

The previous prime is 284402663. The next prime is 284402669. The reversal of 284402664 is 466204482.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 175032900 + 109369764 = 13230^2 + 10458^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (284402663) by changing a digit.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 5366062 + ... + 5366114.

Almost surely, 2^284402664 is an apocalyptic number.

284402664 is a gapful number since it is divisible by the number (24) 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 284402664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511171155).

284402664 is an abundant number, since it is smaller than the sum of its proper divisors (737939646).

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

284402664 is a wasteful number, since it uses less digits than its factorization.

284402664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 284402664 is about 16864.2421709367. The cubic root of 284402664 is about 657.6243517542.

The spelling of 284402664 in words is "two hundred eighty-four million, four hundred two thousand, six hundred sixty-four".