820825484 has 48 divisors (see below), whose sum is σ = 1573447680. Its totient is φ = 373152000.

The previous prime is 820825463. The next prime is 820825493. The reversal of 820825484 is 484528028.

820825484 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 250859 + ... + 254109.

It is an arithmetic number, because the mean of its divisors is an integer number (32780160).

Almost surely, 2^820825484 is an apocalyptic number.

It is an amenable number.

820825484 is a deficient number, since it is larger than the sum of its proper divisors (752622196).

820825484 is a wasteful number, since it uses less digits than its factorization.

820825484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3398 (or 3396 counting only the distinct ones).

The product of its (nonzero) digits is 163840, while the sum is 41.

The square root of 820825484 is about 28650.0520767415. The cubic root of 820825484 is about 936.3041402724.

The spelling of 820825484 in words is "eight hundred twenty million, eight hundred twenty-five thousand, four hundred eighty-four".