404921349 has 72 divisors (see below), whose sum is σ = 729001728. Its totient is φ = 223715520.

The previous prime is 404921333. The next prime is 404921353. The reversal of 404921349 is 943129404.

It is not a de Polignac number, because 404921349 - 2⁴ = 404921333 is a prime.

It is a super-2 number, since 2×404921349² = 327922597751959602, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404921399) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 368569 + ... + 369665.

It is an arithmetic number, because the mean of its divisors is an integer number (10125024).

Almost surely, 2^404921349 is an apocalyptic number.

404921349 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

It is an amenable number.

404921349 is a deficient number, since it is larger than the sum of its proper divisors (324080379).

404921349 is a wasteful number, since it uses less digits than its factorization.

404921349 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1157 (or 1138 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 404921349 is about 20122.6576028118. The cubic root of 404921349 is about 739.8157253600.

The spelling of 404921349 in words is "four hundred four million, nine hundred twenty-one thousand, three hundred forty-nine".