353961440 has 48 divisors (see below), whose sum is σ = 955698912. Its totient is φ = 121357824.

The previous prime is 353961427. The next prime is 353961449. The reversal of 353961440 is 44169353.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 353961440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (353961449) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 156899 + ... + 159138.

It is an arithmetic number, because the mean of its divisors is an integer number (19910394).

Almost surely, 2^353961440 is an apocalyptic number.

It is an amenable number.

353961440 is an abundant number, since it is smaller than the sum of its proper divisors (601737472).

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

353961440 is a wasteful number, since it uses less digits than its factorization.

353961440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316059 (or 316051 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 35.

The square root of 353961440 is about 18813.8629738818. The cubic root of 353961440 is about 707.3787095369.

The spelling of 353961440 in words is "three hundred fifty-three million, nine hundred sixty-one thousand, four hundred forty".