815482240 has 96 divisors (see below), whose sum is σ = 1989856800. Its totient is φ = 319527936.

The previous prime is 815482207. The next prime is 815482243. The reversal of 815482240 is 42284518.

It is a super-2 number, since 2×815482240² = 1330022567510835200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 815482196 and 815482205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (815482243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6421057 + ... + 6421183.

It is an arithmetic number, because the mean of its divisors is an integer number (20727675).

Almost surely, 2^815482240 is an apocalyptic number.

815482240 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 815482240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (994928400).

815482240 is an abundant number, since it is smaller than the sum of its proper divisors (1174374560).

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

815482240 is an equidigital number, since it uses as much as digits as its factorization.

815482240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 34.

The square root of 815482240 is about 28556.6496634322. The cubic root of 815482240 is about 934.2680612952.

The spelling of 815482240 in words is "eight hundred fifteen million, four hundred eighty-two thousand, two hundred forty".