352206540 has 144 divisors (see below), whose sum is σ = 1230378240. Its totient is φ = 79885440.

The previous prime is 352206499. The next prime is 352206541. The reversal of 352206540 is 45602253.

352206540 is a `hidden beast` number, since 3 + 5 + 2 + 2 + 0 + 654 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (352206541) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 174135 + ... + 176145.

Almost surely, 2^352206540 is an apocalyptic number.

352206540 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 352206540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615189120).

352206540 is an abundant number, since it is smaller than the sum of its proper divisors (878171700).

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

352206540 is a wasteful number, since it uses less digits than its factorization.

352206540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2172 (or 2167 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 352206540 is about 18767.1665415960. The cubic root of 352206540 is about 706.2077381974.

Adding to 352206540 its reverse (45602253), we get a palindrome (397808793).

The spelling of 352206540 in words is "three hundred fifty-two million, two hundred six thousand, five hundred forty".