353214540 has 192 divisors, whose sum is σ = 1282176000. Its totient is φ = 80692416.

The previous prime is 353214487. The next prime is 353214557. The reversal of 353214540 is 45412353.

353214540 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×353214540² = 249521022534823200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

353214540 is strictly pandigital in base 9.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 184267 + ... + 186173.

It is an arithmetic number, because the mean of its divisors is an integer number (6678000).

Almost surely, 2^353214540 is an apocalyptic number.

353214540 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 353214540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (641088000).

353214540 is an abundant number, since it is smaller than the sum of its proper divisors (928961460).

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

353214540 is a wasteful number, since it uses less digits than its factorization.

353214540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1946 (or 1924 counting only the distinct ones).

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

The square root of 353214540 is about 18794.0027668403. The cubic root of 353214540 is about 706.8808085839.

Adding to 353214540 its reverse (45412353), we get a palindrome (398626893).

The spelling of 353214540 in words is "three hundred fifty-three million, two hundred fourteen thousand, five hundred forty".