815410000 has 100 divisors (see below), whose sum is σ = 2003024452. Its totient is φ = 321408000.

The previous prime is 815409979. The next prime is 815410021. The reversal of 815410000 is 14518.

It is an interprime number because it is at equal distance from previous prime (815409979) and next prime (815410021).

It can be written as a sum of positive squares in 10 ways, for example, as 765960976 + 49449024 = 27676^2 + 7032^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a self number, because there is not a number n which added to its sum of digits gives 815410000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 729442 + ... + 730558.

Almost surely, 2^815410000 is an apocalyptic number.

815410000 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 815410000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1001512226).

815410000 is an abundant number, since it is smaller than the sum of its proper divisors (1187614452).

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

815410000 is a wasteful number, since it uses less digits than its factorization.

815410000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1218 (or 1197 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 19.

The square root of 815410000 is about 28555.3847811582. The cubic root of 815410000 is about 934.2404729087.

Adding to 815410000 its reverse (14518), we get a palindrome (815424518).

The spelling of 815410000 in words is "eight hundred fifteen million, four hundred ten thousand".