820485407 has 8 divisors (see below), whose sum is σ = 938272800. Its totient is φ = 702841824.

The previous prime is 820485403. The next prime is 820485409. The reversal of 820485407 is 704584028.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 820485407 - 2² = 820485403 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820485403) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23432 + ... + 46797.

It is an arithmetic number, because the mean of its divisors is an integer number (117284100).

Almost surely, 2^820485407 is an apocalyptic number.

820485407 is a deficient number, since it is larger than the sum of its proper divisors (117787393).

820485407 is a wasteful number, since it uses less digits than its factorization.

820485407 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71905.

The product of its (nonzero) digits is 71680, while the sum is 38.

The square root of 820485407 is about 28644.1164464886. The cubic root of 820485407 is about 936.1748153859.

The spelling of 820485407 in words is "eight hundred twenty million, four hundred eighty-five thousand, four hundred seven".