353406404 has 24 divisors (see below), whose sum is σ = 705215448. Its totient is φ = 153515520.

The previous prime is 353406397. The next prime is 353406407. The reversal of 353406404 is 404604353.

It can be written as a sum of positive squares in 4 ways, for example, as 71233600 + 282172804 = 8440^2 + 16798^2 .

It is a super-2 number, since 2×353406404² = 249792172776422432, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (353406407) 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 7 ways as a sum of consecutive naturals, for example, 199007 + ... + 200774.

It is an arithmetic number, because the mean of its divisors is an integer number (29383977).

Almost surely, 2^353406404 is an apocalyptic number.

353406404 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

353406404 is a deficient number, since it is larger than the sum of its proper divisors (351809044).

353406404 is a wasteful number, since it uses less digits than its factorization.

353406404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399815 (or 399813 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 29.

The square root of 353406404 is about 18799.1064681277. The cubic root of 353406404 is about 707.0087765416.

The spelling of 353406404 in words is "three hundred fifty-three million, four hundred six thousand, four hundred four".