353383920 has 120 divisors (see below), whose sum is σ = 1215828432. Its totient is φ = 91929600.

The previous prime is 353383909. The next prime is 353383957. The reversal of 353383920 is 29383353.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23535 + ... + 35505.

Almost surely, 2^353383920 is an apocalyptic number.

353383920 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 353383920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (607914216).

353383920 is an abundant number, since it is smaller than the sum of its proper divisors (862444512).

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

353383920 is a wasteful number, since it uses less digits than its factorization.

353383920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12031 (or 12022 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The square root of 353383920 is about 18798.5084514703. The cubic root of 353383920 is about 706.9937827344.

The spelling of 353383920 in words is "three hundred fifty-three million, three hundred eighty-three thousand, nine hundred twenty".