352788240 has 240 divisors, whose sum is σ = 1287506880. Its totient is φ = 79672320.

The previous prime is 352788239. The next prime is 352788311. The reversal of 352788240 is 42887253.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1540446 + ... + 1540674.

It is an arithmetic number, because the mean of its divisors is an integer number (5364612).

Almost surely, 2^352788240 is an apocalyptic number.

352788240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 352788240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (643753440).

352788240 is an abundant number, since it is smaller than the sum of its proper divisors (934718640).

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

352788240 is a wasteful number, since it uses less digits than its factorization.

352788240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 39.

The square root of 352788240 is about 18782.6579588726. The cubic root of 352788240 is about 706.5963123662.

The spelling of 352788240 in words is "three hundred fifty-two million, seven hundred eighty-eight thousand, two hundred forty".