820415304 has 40 divisors (see below), whose sum is σ = 2297924310. Its totient is φ = 273471552.

The previous prime is 820415303. The next prime is 820415327. The reversal of 820415304 is 403514028.

It can be written as a sum of positive squares in only one way, i.e., 818074404 + 2340900 = 28602^2 + 1530^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (820415303) 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 9 ways as a sum of consecutive naturals, for example, 632389 + ... + 633684.

Almost surely, 2^820415304 is an apocalyptic number.

It is an amenable number.

820415304 is an abundant number, since it is smaller than the sum of its proper divisors (1477509006).

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

820415304 is a wasteful number, since it uses less digits than its factorization.

820415304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1266091 (or 1266078 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 820415304 is about 28642.8927310075. The cubic root of 820415304 is about 936.1481520913.

The spelling of 820415304 in words is "eight hundred twenty million, four hundred fifteen thousand, three hundred four".