353242400532 has 144 divisors (see below), whose sum is σ = 967584350208. Its totient is φ = 98252003520.

The previous prime is 353242400531. The next prime is 353242400627. The reversal of 353242400532 is 235004242353.

It is a junction number, because it is equal to n+sod(n) for n = 353242400493 and 353242400502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (353242400531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35436213 + ... + 35446179.

Almost surely, 2^353242400532 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 353242400532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483792175104).

353242400532 is an abundant number, since it is smaller than the sum of its proper divisors (614341949676).

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

353242400532 is a wasteful number, since it uses less digits than its factorization.

353242400532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10266 (or 10217 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 33.

Adding to 353242400532 its reverse (235004242353), we get a palindrome (588246642885).

The spelling of 353242400532 in words is "three hundred fifty-three billion, two hundred forty-two million, four hundred thousand, five hundred thirty-two".