353436400 has 120 divisors (see below), whose sum is σ = 908629344. Its totient is φ = 131788800.

The previous prime is 353436389. The next prime is 353436401. The reversal of 353436400 is 4634353.

353436400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (353436401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 376732 + ... + 377668.

Almost surely, 2^353436400 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 353436400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454314672).

353436400 is an abundant number, since it is smaller than the sum of its proper divisors (555192944).

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

353436400 is a wasteful number, since it uses less digits than its factorization.

353436400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1019 (or 1008 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 28.

The square root of 353436400 is about 18799.9042550753. The cubic root of 353436400 is about 707.0287788534.

The spelling of 353436400 in words is "three hundred fifty-three million, four hundred thirty-six thousand, four hundred".