820407258 has 64 divisors (see below), whose sum is σ = 2014156800. Its totient is φ = 245447280.

The previous prime is 820407227. The next prime is 820407271. The reversal of 820407258 is 852704028.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38185 + ... + 55667.

It is an arithmetic number, because the mean of its divisors is an integer number (31471200).

Almost surely, 2^820407258 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 820407258, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1007078400).

820407258 is an abundant number, since it is smaller than the sum of its proper divisors (1193749542).

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

820407258 is a wasteful number, since it uses less digits than its factorization.

820407258 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17584 (or 17578 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 820407258 is about 28642.7522769723. The cubic root of 820407258 is about 936.1450917419.

It can be divided in two parts, 82040 and 7258, that added together give a palindrome (89298).

The spelling of 820407258 in words is "eight hundred twenty million, four hundred seven thousand, two hundred fifty-eight".