803256480 has 192 divisors, whose sum is σ = 3027870720. Its totient is φ = 197710848.

The previous prime is 803256457. The next prime is 803256523. The reversal of 803256480 is 84652308.

803256480 is a `hidden beast` number, since 8 + 0 + 3 + 2 + 5 + 648 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49009 + ... + 63311.

It is an arithmetic number, because the mean of its divisors is an integer number (15770160).

Almost surely, 2^803256480 is an apocalyptic number.

803256480 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 803256480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1513935360).

803256480 is an abundant number, since it is smaller than the sum of its proper divisors (2224614240).

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

803256480 is a wasteful number, since it uses less digits than its factorization.

803256480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14340 (or 14326 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 803256480 is about 28341.7797606290. The cubic root of 803256480 is about 929.5756648970.

The spelling of 803256480 in words is "eight hundred three million, two hundred fifty-six thousand, four hundred eighty".