350189400 has 192 divisors, whose sum is σ = 1198673280. Its totient is φ = 83865600.

The previous prime is 350189387. The next prime is 350189401. The reversal of 350189400 is 4981053.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (350189401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 639927 + ... + 640473.

It is an arithmetic number, because the mean of its divisors is an integer number (6243090).

Almost surely, 2^350189400 is an apocalyptic number.

350189400 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 350189400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599336640).

350189400 is an abundant number, since it is smaller than the sum of its proper divisors (848483880).

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

350189400 is a wasteful number, since it uses less digits than its factorization.

350189400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 674 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 350189400 is about 18713.3481771702. The cubic root of 350189400 is about 704.8569701291.

The spelling of 350189400 in words is "three hundred fifty million, one hundred eighty-nine thousand, four hundred".