802560444 has 48 divisors (see below), whose sum is σ = 2150351616. Its totient is φ = 228211200.

The previous prime is 802560439. The next prime is 802560461. The reversal of 802560444 is 444065208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4917 + ... + 40364.

It is an arithmetic number, because the mean of its divisors is an integer number (44798992).

Almost surely, 2^802560444 is an apocalyptic number.

802560444 is a gapful number since it is divisible by the number (84) 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 802560444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1075175808).

802560444 is an abundant number, since it is smaller than the sum of its proper divisors (1347791172).

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

802560444 is a wasteful number, since it uses less digits than its factorization.

802560444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45506 (or 45504 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 33.

The square root of 802560444 is about 28329.4977717573. The cubic root of 802560444 is about 929.3070893681.

The spelling of 802560444 in words is "eight hundred two million, five hundred sixty thousand, four hundred forty-four".