353115152 has 80 divisors (see below), whose sum is σ = 781200000. Its totient is φ = 153280512.

The previous prime is 353115149. The next prime is 353115157. The reversal of 353115152 is 251511353.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (353115157) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 786224 + ... + 786672.

It is an arithmetic number, because the mean of its divisors is an integer number (9765000).

Almost surely, 2^353115152 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 353115152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390600000).

353115152 is an abundant number, since it is smaller than the sum of its proper divisors (428084848).

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

353115152 is a wasteful number, since it uses less digits than its factorization.

353115152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 688 (or 682 counting only the distinct ones).

The product of its digits is 2250, while the sum is 26.

The square root of 353115152 is about 18791.3584394530. The cubic root of 353115152 is about 706.8145013283.

The spelling of 353115152 in words is "three hundred fifty-three million, one hundred fifteen thousand, one hundred fifty-two".