815516442 has 192 divisors, whose sum is σ = 2123197440. Its totient is φ = 223948800.

The previous prime is 815516441. The next prime is 815516483. The reversal of 815516442 is 244615518.

It is a happy number.

815516442 is a `hidden beast` number, since 8 + 1 + 5 + 5 + 1 + 644 + 2 = 666.

815516442 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 815516397 and 815516406.

It is not an unprimeable number, because it can be changed into a prime (815516441) 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, 8407338 + ... + 8407434.

It is an arithmetic number, because the mean of its divisors is an integer number (11058320).

Almost surely, 2^815516442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 815516442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1061598720).

815516442 is an abundant number, since it is smaller than the sum of its proper divisors (1307680998).

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

815516442 is a wasteful number, since it uses less digits than its factorization.

815516442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 226 counting only the distinct ones).

The product of its digits is 38400, while the sum is 36.

The square root of 815516442 is about 28557.2485019128. The cubic root of 815516442 is about 934.2811224379.

The spelling of 815516442 in words is "eight hundred fifteen million, five hundred sixteen thousand, four hundred forty-two".