350020400 has 60 divisors (see below), whose sum is σ = 852514632. Its totient is φ = 138078720.

The previous prime is 350020399. The next prime is 350020409. The reversal of 350020400 is 4020053.

It is not an unprimeable number, because it can be changed into a prime (350020409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23207 + ... + 35193.

Almost surely, 2^350020400 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 350020400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426257316).

350020400 is an abundant number, since it is smaller than the sum of its proper divisors (502494232).

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

350020400 is a wasteful number, since it uses less digits than its factorization.

350020400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12078 (or 12067 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 14.

The square root of 350020400 is about 18708.8321388589. The cubic root of 350020400 is about 704.7435648352.

Adding to 350020400 its reverse (4020053), we get a palindrome (354040453).

The spelling of 350020400 in words is "three hundred fifty million, twenty thousand, four hundred".