815401830 has 64 divisors (see below), whose sum is σ = 1997498880. Its totient is φ = 212964864.

The previous prime is 815401817. The next prime is 815401831. The reversal of 815401830 is 38104518.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (815401831) 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 31 ways as a sum of consecutive naturals, for example, 595807 + ... + 597173.

It is an arithmetic number, because the mean of its divisors is an integer number (31210920).

Almost surely, 2^815401830 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 815401830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (998749440).

815401830 is an abundant number, since it is smaller than the sum of its proper divisors (1182097050).

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

815401830 is a wasteful number, since it uses less digits than its factorization.

815401830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1773.

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 815401830 is about 28555.2417254696. The cubic root of 815401830 is about 934.2373526910.

The spelling of 815401830 in words is "eight hundred fifteen million, four hundred one thousand, eight hundred thirty".