352666240 has 128 divisors (see below), whose sum is σ = 885355920. Its totient is φ = 134184960.

The previous prime is 352666231. The next prime is 352666243. The reversal of 352666240 is 42666253.

It can be written as a sum of positive squares in 8 ways, for example, as 292820544 + 59845696 = 17112^2 + 7736^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a zygodrome in base 4.

It is a junction number, because it is equal to n+sod(n) for n = 352666196 and 352666205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (352666243) 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, 1254900 + ... + 1255180.

Almost surely, 2^352666240 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 352666240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442677960).

352666240 is an abundant number, since it is smaller than the sum of its proper divisors (532689680).

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

352666240 is a wasteful number, since it uses less digits than its factorization.

352666240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 34.

The square root of 352666240 is about 18779.4100013818. The cubic root of 352666240 is about 706.5148520837.

The spelling of 352666240 in words is "three hundred fifty-two million, six hundred sixty-six thousand, two hundred forty".