352462240 has 96 divisors (see below), whose sum is σ = 918839376. Its totient is φ = 126935040.

The previous prime is 352462223. The next prime is 352462249. The reversal of 352462240 is 42264253.

It can be written as a sum of positive squares in 8 ways, for example, as 44249104 + 308213136 = 6652^2 + 17556^2 .

It is a junction number, because it is equal to n+sod(n) for n = 352462199 and 352462208.

It is not an unprimeable number, because it can be changed into a prime (352462249) 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, 83214 + ... + 87346.

Almost surely, 2^352462240 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 352462240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459419688).

352462240 is an abundant number, since it is smaller than the sum of its proper divisors (566377136).

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

352462240 is a wasteful number, since it uses less digits than its factorization.

352462240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4202 (or 4194 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 28.

The square root of 352462240 is about 18773.9777351525. The cubic root of 352462240 is about 706.3785978269.

The spelling of 352462240 in words is "three hundred fifty-two million, four hundred sixty-two thousand, two hundred forty".