350552000 has 112 divisors (see below), whose sum is σ = 898672320. Its totient is φ = 135296000.

The previous prime is 350551997. The next prime is 350552011. The reversal of 350552000 is 255053.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 231245 + ... + 232755.

It is an arithmetic number, because the mean of its divisors is an integer number (8023860).

Almost surely, 2^350552000 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 350552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449336160).

350552000 is an abundant number, since it is smaller than the sum of its proper divisors (548120320).

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

350552000 is a wasteful number, since it uses less digits than its factorization.

350552000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1567 (or 1547 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 20.

The square root of 350552000 is about 18723.0339421793. The cubic root of 350552000 is about 705.1001651688.

The spelling of 350552000 in words is "three hundred fifty million, five hundred fifty-two thousand".