354282240 has 288 divisors, whose sum is σ = 1252694016. Its totient is φ = 84787200.

The previous prime is 354282223. The next prime is 354282251. The reversal of 354282240 is 42282453.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 354282198 and 354282207.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2346165 + ... + 2346315.

It is an arithmetic number, because the mean of its divisors is an integer number (4349632).

Almost surely, 2^354282240 is an apocalyptic number.

354282240 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 354282240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (626347008).

354282240 is an abundant number, since it is smaller than the sum of its proper divisors (898411776).

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

354282240 is a wasteful number, since it uses less digits than its factorization.

354282240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The square root of 354282240 is about 18822.3866711956. The cubic root of 354282240 is about 707.5923472793.

The spelling of 354282240 in words is "three hundred fifty-four million, two hundred eighty-two thousand, two hundred forty".