350500400 has 60 divisors (see below), whose sum is σ = 849908400. Its totient is φ = 138896640.

The previous prime is 350500399. The next prime is 350500417. The reversal of 350500400 is 4005053.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39581 + ... + 47619.

It is an arithmetic number, because the mean of its divisors is an integer number (14165140).

Almost surely, 2^350500400 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 350500400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424954200).

350500400 is an abundant number, since it is smaller than the sum of its proper divisors (499408000).

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

350500400 is a wasteful number, since it uses less digits than its factorization.

350500400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8166 (or 8155 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 17.

The square root of 350500400 is about 18721.6559096678. The cubic root of 350500400 is about 705.0655673975.

Adding to 350500400 its reverse (4005053), we get a palindrome (354505453).

The spelling of 350500400 in words is "three hundred fifty million, five hundred thousand, four hundred".