804463968 has 192 divisors, whose sum is σ = 2687731200. Its totient is φ = 208857600.

The previous prime is 804463967. The next prime is 804464033. The reversal of 804463968 is 869364408.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (804463967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 361098 + ... + 363318.

It is an arithmetic number, because the mean of its divisors is an integer number (13998600).

Almost surely, 2^804463968 is an apocalyptic number.

804463968 is a gapful number since it is divisible by the number (88) 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 804463968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1343865600).

804463968 is an abundant number, since it is smaller than the sum of its proper divisors (1883267232).

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

804463968 is a wasteful number, since it uses less digits than its factorization.

804463968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2266 (or 2244 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 48.

The square root of 804463968 is about 28363.0740223975. The cubic root of 804463968 is about 930.0412237479.

The spelling of 804463968 in words is "eight hundred four million, four hundred sixty-three thousand, nine hundred sixty-eight".