804264288 has 96 divisors (see below), whose sum is σ = 2242326240. Its totient is φ = 251535360.

The previous prime is 804264277. The next prime is 804264289. The reversal of 804264288 is 882462408.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (804264289) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 751818 + ... + 752886.

It is an arithmetic number, because the mean of its divisors is an integer number (23357565).

Almost surely, 2^804264288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 804264288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1121163120).

804264288 is an abundant number, since it is smaller than the sum of its proper divisors (1438061952).

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

804264288 is a wasteful number, since it uses less digits than its factorization.

804264288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1560 (or 1552 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 42.

The square root of 804264288 is about 28359.5537341475. The cubic root of 804264288 is about 929.9642673287.

The spelling of 804264288 in words is "eight hundred four million, two hundred sixty-four thousand, two hundred eighty-eight".