353385000 has 120 divisors (see below), whose sum is σ = 1196124930. Its totient is φ = 94224000.

The previous prime is 353384959. The next prime is 353385007. The reversal of 353385000 is 583353.

It can be written as a sum of positive squares in 5 ways, for example, as 15634116 + 337750884 = 3954^2 + 18378^2 .

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

It is not an unprimeable number, because it can be changed into a prime (353385007) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 41074 + ... + 48926.

Almost surely, 2^353385000 is an apocalyptic number.

353385000 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 353385000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (598062465).

353385000 is an abundant number, since it is smaller than the sum of its proper divisors (842739930).

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

353385000 is a wasteful number, since it uses less digits than its factorization.

353385000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7885 (or 7863 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 353385000 is about 18798.5371771316. The cubic root of 353385000 is about 706.9945029638.

The spelling of 353385000 in words is "three hundred fifty-three million, three hundred eighty-five thousand".