815430240 has 168 divisors, whose sum is σ = 2888772768. Its totient is φ = 217416960.

The previous prime is 815430197. The next prime is 815430241. The reversal of 815430240 is 42034518.

815430240 is a `hidden beast` number, since 81 + 543 + 0 + 2 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (815430241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 113145 + ... + 120135.

It is an arithmetic number, because the mean of its divisors is an integer number (17195076).

Almost surely, 2^815430240 is an apocalyptic number.

815430240 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 815430240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1444386384).

815430240 is an abundant number, since it is smaller than the sum of its proper divisors (2073342528).

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

815430240 is an equidigital number, since it uses as much as digits as its factorization.

815430240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7024 (or 7001 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 815430240 is about 28555.7391779656. The cubic root of 815430240 is about 934.2482027095.

Adding to 815430240 its reverse (42034518), we get a palindrome (857464758).

The spelling of 815430240 in words is "eight hundred fifteen million, four hundred thirty thousand, two hundred forty".