353427360 has 384 divisors, whose sum is σ = 1381847040. Its totient is φ = 74649600.

The previous prime is 353427343. The next prime is 353427391. The reversal of 353427360 is 63724353.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 63 ways as a sum of consecutive naturals, for example, 1304025 + ... + 1304295.

It is an arithmetic number, because the mean of its divisors is an integer number (3598560).

Almost surely, 2^353427360 is an apocalyptic number.

353427360 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 353427360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (690923520).

353427360 is an abundant number, since it is smaller than the sum of its proper divisors (1028419680).

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

353427360 is a wasteful number, since it uses less digits than its factorization.

353427360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 33.

The square root of 353427360 is about 18799.6638267816. The cubic root of 353427360 is about 707.0227508055.

The spelling of 353427360 in words is "three hundred fifty-three million, four hundred twenty-seven thousand, three hundred sixty".