353005220 has 48 divisors (see below), whose sum is σ = 755259120. Its totient is φ = 138571776.

The previous prime is 353005207. The next prime is 353005241. The reversal of 353005220 is 22500353.

353005220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 4734976 + 348270244 = 2176^2 + 18662^2 .

It is a super-2 number, since 2×353005220² = 249225370694496800, which contains 22 as substring.

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 = 353005192 and 353005201.

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 15 ways as a sum of consecutive naturals, for example, 245624 + ... + 247056.

It is an arithmetic number, because the mean of its divisors is an integer number (15734565).

Almost surely, 2^353005220 is an apocalyptic number.

It is an amenable number.

353005220 is an abundant number, since it is smaller than the sum of its proper divisors (402253900).

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

353005220 is a wasteful number, since it uses less digits than its factorization.

353005220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1664 (or 1662 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 20.

The square root of 353005220 is about 18788.4331438255. The cubic root of 353005220 is about 706.7411450911.

Adding to 353005220 its reverse (22500353), we get a palindrome (375505573).

The spelling of 353005220 in words is "three hundred fifty-three million, five thousand, two hundred twenty".