353720 has 32 divisors (see below), whose sum is σ = 820800. Its totient is φ = 137088.

The previous prime is 353711. The next prime is 353737. The reversal of 353720 is 27353.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 353692 and 353701.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1361 + ... + 1599.

It is an arithmetic number, because the mean of its divisors is an integer number (25650).

2³⁵³⁷²⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 353720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410400).

353720 is an abundant number, since it is smaller than the sum of its proper divisors (467080).

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

353720 is a wasteful number, since it uses less digits than its factorization.

353720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 20.

The square root of 353720 is about 594.7436422527. The cubic root of 353720 is about 70.7217836681.

The spelling of 353720 in words is "three hundred fifty-three thousand, seven hundred twenty".