353412304 has 60 divisors (see below), whose sum is σ = 799412004. Its totient is φ = 150915072.

The previous prime is 353412289. The next prime is 353412343. The reversal of 353412304 is 403214353.

It can be written as a sum of positive squares in 2 ways, for example, as 188238400 + 165173904 = 13720^2 + 12852^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 276114 + ... + 277390.

Almost surely, 2^353412304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 353412304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399706002).

353412304 is an abundant number, since it is smaller than the sum of its proper divisors (445999700).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

353412304 is a wasteful number, since it uses less digits than its factorization.

353412304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1652 (or 1639 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 25.

The square root of 353412304 is about 18799.2633898246. The cubic root of 353412304 is about 707.0127109436.

Adding to 353412304 its reverse (403214353), we get a palindrome (756626657).

The spelling of 353412304 in words is "three hundred fifty-three million, four hundred twelve thousand, three hundred four".