409931153 has 12 divisors (see below), whose sum is σ = 427058268. Its totient is φ = 393462720.

The previous prime is 409931141. The next prime is 409931167. The reversal of 409931153 is 351139904.

It can be written as a sum of positive squares in 6 ways, for example, as 51093904 + 358837249 = 7148^2 + 18943^2 .

It is not a de Polignac number, because 409931153 - 2⁶ = 409931089 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (409931173) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 150875 + ... + 153567.

It is an arithmetic number, because the mean of its divisors is an integer number (35588189).

Almost surely, 2^409931153 is an apocalyptic number.

It is an amenable number.

409931153 is a deficient number, since it is larger than the sum of its proper divisors (17127115).

409931153 is a wasteful number, since it uses less digits than its factorization.

409931153 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2932 (or 2903 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 35.

The square root of 409931153 is about 20246.7566044540. The cubic root of 409931153 is about 742.8542995788.

The spelling of 409931153 in words is "four hundred nine million, nine hundred thirty-one thousand, one hundred fifty-three".