353828304 has 160 divisors (see below), whose sum is σ = 1070169600. Its totient is φ = 111767040.

The previous prime is 353828269. The next prime is 353828309. The reversal of 353828304 is 403828353.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (353828309) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 763977 + ... + 764439.

It is an arithmetic number, because the mean of its divisors is an integer number (6688560).

Almost surely, 2^353828304 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 353828304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535084800).

353828304 is an abundant number, since it is smaller than the sum of its proper divisors (716341296).

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

353828304 is a wasteful number, since it uses less digits than its factorization.

353828304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 570 (or 558 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 353828304 is about 18810.3243991166. The cubic root of 353828304 is about 707.2900093082.

The spelling of 353828304 in words is "three hundred fifty-three million, eight hundred twenty-eight thousand, three hundred four".