804951360 has 336 divisors, whose sum is σ = 3010552272. Its totient is φ = 196608000.

The previous prime is 804951349. The next prime is 804951361. The reversal of 804951360 is 63159408.

804951360 is a `hidden beast` number, since 80 + 4 + 9 + 513 + 60 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 15116544 + 789834816 = 3888^2 + 28104^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (804951361) 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, 2007160 + ... + 2007560.

It is an arithmetic number, because the mean of its divisors is an integer number (8959977).

Almost surely, 2^804951360 is an apocalyptic number.

804951360 is a gapful number since it is divisible by the number (80) 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 804951360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1505276136).

804951360 is an abundant number, since it is smaller than the sum of its proper divisors (2205600912).

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

804951360 is a wasteful number, since it uses less digits than its factorization.

804951360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 804951360 is about 28371.6647379036. The cubic root of 804951360 is about 930.2290105462.

The spelling of 804951360 in words is "eight hundred four million, nine hundred fifty-one thousand, three hundred sixty".