285790464 has 144 divisors (see below), whose sum is σ = 853574400. Its totient is φ = 94316544.

The previous prime is 285790441. The next prime is 285790499. The reversal of 285790464 is 464097582.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1195657 + ... + 1195895.

It is an arithmetic number, because the mean of its divisors is an integer number (5927600).

Almost surely, 2^285790464 is an apocalyptic number.

285790464 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 285790464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426787200).

285790464 is an abundant number, since it is smaller than the sum of its proper divisors (567783936).

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

285790464 is a wasteful number, since it uses less digits than its factorization.

285790464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 285790464 is about 16905.3383284689. The cubic root of 285790464 is about 658.6922866623.

The spelling of 285790464 in words is "two hundred eighty-five million, seven hundred ninety thousand, four hundred sixty-four".