354180240 has 120 divisors (see below), whose sum is σ = 1200633720. Its totient is φ = 93560832.

The previous prime is 354180199. The next prime is 354180247. The reversal of 354180240 is 42081453.

354180240 is a `hidden beast` number, since 3 + 5 + 418 + 0 + 240 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 589824 + 353590416 = 768^2 + 18804^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (354180247) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76224 + ... + 80736.

It is an arithmetic number, because the mean of its divisors is an integer number (10005281).

Almost surely, 2^354180240 is an apocalyptic number.

354180240 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 354180240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (600316860).

354180240 is an abundant number, since it is smaller than the sum of its proper divisors (846453480).

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

354180240 is a wasteful number, since it uses less digits than its factorization.

354180240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4641 (or 4632 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 354180240 is about 18819.6769366533. The cubic root of 354180240 is about 707.5244340556.

The spelling of 354180240 in words is "three hundred fifty-four million, one hundred eighty thousand, two hundred forty".