353424544 has 72 divisors (see below), whose sum is σ = 773515764. Its totient is φ = 158822400.

The previous prime is 353424527. The next prime is 353424569. The reversal of 353424544 is 445424353.

It can be written as a sum of positive squares in 2 ways, for example, as 352988944 + 435600 = 18788^2 + 660^2 .

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

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, 375114 + ... + 376054.

Almost surely, 2^353424544 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 353424544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386757882).

353424544 is an abundant number, since it is smaller than the sum of its proper divisors (420091220).

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

353424544 is a wasteful number, since it uses less digits than its factorization.

353424544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1070 (or 1051 counting only the distinct ones).

The product of its digits is 115200, while the sum is 34.

The square root of 353424544 is about 18799.5889316761. The cubic root of 353424544 is about 707.0208730209.

Adding to 353424544 its reverse (445424353), we get a palindrome (798848897).

The spelling of 353424544 in words is "three hundred fifty-three million, four hundred twenty-four thousand, five hundred forty-four".