404923953 has 48 divisors (see below), whose sum is σ = 672608256. Its totient is φ = 212012640.

The previous prime is 404923933. The next prime is 404924017. The reversal of 404923953 is 359329404.

It is not a de Polignac number, because 404923953 - 2¹² = 404919857 is a prime.

It is not an unprimeable number, because it can be changed into a prime (404923933) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 234150 + ... + 235872.

It is an arithmetic number, because the mean of its divisors is an integer number (14012672).

Almost surely, 2^404923953 is an apocalyptic number.

It is an amenable number.

404923953 is a deficient number, since it is larger than the sum of its proper divisors (267684303).

404923953 is a wasteful number, since it uses less digits than its factorization.

404923953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1802 (or 1783 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 39.

The square root of 404923953 is about 20122.7223058909. The cubic root of 404923953 is about 739.8173112449.

The spelling of 404923953 in words is "four hundred four million, nine hundred twenty-three thousand, nine hundred fifty-three".