353040 has 40 divisors (see below), whose sum is σ = 1095168. Its totient is φ = 94080.

The previous prime is 353021. The next prime is 353047. The reversal of 353040 is 40353.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (353047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 496 + ... + 975.

2³⁵³⁰⁴⁰ is an apocalyptic number.

353040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

353040 is an abundant number, since it is smaller than the sum of its proper divisors (742128).

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

353040 is a wasteful number, since it uses less digits than its factorization.

353040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1487 (or 1481 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 15.

The square root of 353040 is about 594.1716923584. The cubic root of 353040 is about 70.6764354993.

Adding to 353040 its product of nonzero digits (180), we get a triangular number (353220 = T₈₄₀).

Adding to 353040 its reverse (40353), we get a palindrome (393393).

It can be divided in two parts, 3530 and 40, that added together give a triangular number (3570 = T₈₄).

The spelling of 353040 in words is "three hundred fifty-three thousand, forty".