809056248 has 384 divisors, whose sum is σ = 2937150720. Its totient is φ = 181923840.

The previous prime is 809056247. The next prime is 809056253. The reversal of 809056248 is 842650908.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (809056247) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2858715 + ... + 2858997.

It is an arithmetic number, because the mean of its divisors is an integer number (7648830).

Almost surely, 2^809056248 is an apocalyptic number.

809056248 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 809056248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1468575360).

809056248 is an abundant number, since it is smaller than the sum of its proper divisors (2128094472).

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

809056248 is a wasteful number, since it uses less digits than its factorization.

809056248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 809056248 is about 28443.9140766527. The cubic root of 809056248 is about 931.8075793758.

It can be divided in two parts, 80905 and 6248, that added together give a triangular number (87153 = T₄₁₇).

The spelling of 809056248 in words is "eight hundred nine million, fifty-six thousand, two hundred forty-eight".