820357401 has 8 divisors (see below), whose sum is σ = 1099307200. Its totient is φ = 544156272.

The previous prime is 820357387. The next prime is 820357441. The reversal of 820357401 is 104753028.

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

It is not a de Polignac number, because 820357401 - 2¹¹ = 820355353 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (820357441) 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, 686470 + ... + 687663.

It is an arithmetic number, because the mean of its divisors is an integer number (137413400).

Almost surely, 2^820357401 is an apocalyptic number.

It is an amenable number.

820357401 is a deficient number, since it is larger than the sum of its proper divisors (278949799).

820357401 is a wasteful number, since it uses less digits than its factorization.

820357401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1374335.

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 820357401 is about 28641.8819388671. The cubic root of 820357401 is about 936.1261278550.

The spelling of 820357401 in words is "eight hundred twenty million, three hundred fifty-seven thousand, four hundred one".