853364407 has 16 divisors (see below), whose sum is σ = 992369664. Its totient is φ = 718704000.

The previous prime is 853364401. The next prime is 853364429. The reversal of 853364407 is 704463358.

It is not a de Polignac number, because 853364407 - 2¹⁵ = 853331639 is a prime.

It is a super-2 number, since 2×853364407² = 1456461622268923298, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 853364407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (853364401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 151807 + ... + 157327.

It is an arithmetic number, because the mean of its divisors is an integer number (62023104).

Almost surely, 2^853364407 is an apocalyptic number.

853364407 is a deficient number, since it is larger than the sum of its proper divisors (139005257).

853364407 is a wasteful number, since it uses less digits than its factorization.

853364407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5910.

The product of its (nonzero) digits is 241920, while the sum is 40.

The square root of 853364407 is about 29212.4015958976. The cubic root of 853364407 is about 948.5163941531.

The spelling of 853364407 in words is "eight hundred fifty-three million, three hundred sixty-four thousand, four hundred seven".