353804220 has 384 divisors, whose sum is σ = 1403781120. Its totient is φ = 71850240.

The previous prime is 353804207. The next prime is 353804237. The reversal of 353804220 is 22408353.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2785797 + ... + 2785923.

It is an arithmetic number, because the mean of its divisors is an integer number (3655680).

Almost surely, 2^353804220 is an apocalyptic number.

353804220 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 353804220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (701890560).

353804220 is an abundant number, since it is smaller than the sum of its proper divisors (1049976900).

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

353804220 is a wasteful number, since it uses less digits than its factorization.

353804220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 353804220 is about 18809.6842078755. The cubic root of 353804220 is about 707.2739612618.

The spelling of 353804220 in words is "three hundred fifty-three million, eight hundred four thousand, two hundred twenty".