815352240 has 240 divisors, whose sum is σ = 2707398144. Its totient is φ = 202782720.

The previous prime is 815352233. The next prime is 815352247. The reversal of 815352240 is 42253518.

It is an interprime number because it is at equal distance from previous prime (815352233) and next prime (815352247).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 815352198 and 815352207.

It is not an unprimeable number, because it can be changed into a prime (815352247) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17347897 + ... + 17347943.

Almost surely, 2^815352240 is an apocalyptic number.

815352240 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 815352240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1353699072).

815352240 is an abundant number, since it is smaller than the sum of its proper divisors (1892045904).

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

815352240 is a wasteful number, since it uses less digits than its factorization.

815352240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 815352240 is about 28554.3733953312. The cubic root of 815352240 is about 934.2184132480.

The spelling of 815352240 in words is "eight hundred fifteen million, three hundred fifty-two thousand, two hundred forty".