815430 has 64 divisors (see below), whose sum is σ = 2446848. Its totient is φ = 168960.

The previous prime is 815417. The next prime is 815431. The reversal of 815430 is 34518.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 815397 and 815406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (815431) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2134 + ... + 2486.

It is an arithmetic number, because the mean of its divisors is an integer number (38232).

2⁸¹⁵⁴³⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 815430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1223424).

815430 is an abundant number, since it is smaller than the sum of its proper divisors (1631418).

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

815430 is a wasteful number, since it uses less digits than its factorization.

815430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381.

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 815430 is about 903.0116278321. The cubic root of 815430 is about 93.4248111053.

Subtracting from 815430 its sum of digits (21), we obtain a square (815409 = 903²).

Adding to 815430 its reverse (34518), we get a palindrome (849948).

The spelling of 815430 in words is "eight hundred fifteen thousand, four hundred thirty".