820325460 has 96 divisors (see below), whose sum is σ = 2340576000. Its totient is φ = 214635520.

The previous prime is 820325381. The next prime is 820325461. The reversal of 820325460 is 64523028.

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 (820325461) 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, 795145 + ... + 796175.

It is an arithmetic number, because the mean of its divisors is an integer number (24381000).

Almost surely, 2^820325460 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 820325460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1170288000).

820325460 is an abundant number, since it is smaller than the sum of its proper divisors (1520250540).

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

820325460 is a wasteful number, since it uses less digits than its factorization.

820325460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1281 (or 1279 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 820325460 is about 28641.3243408890. The cubic root of 820325460 is about 936.1139781941.

Adding to 820325460 its reverse (64523028), we get a palindrome (884848488).

The spelling of 820325460 in words is "eight hundred twenty million, three hundred twenty-five thousand, four hundred sixty".