351240400 has 240 divisors, whose sum is σ = 1049504256. Its totient is φ = 110223360.

The previous prime is 351240391. The next prime is 351240413. The reversal of 351240400 is 4042153.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2237122 + ... + 2237278.

Almost surely, 2^351240400 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 351240400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524752128).

351240400 is an abundant number, since it is smaller than the sum of its proper divisors (698263856).

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

351240400 is a wasteful number, since it uses less digits than its factorization.

351240400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 351240400 is about 18741.4086983876. The cubic root of 351240400 is about 705.5614125438.

Adding to 351240400 its reverse (4042153), we get a palindrome (355282553).

The spelling of 351240400 in words is "three hundred fifty-one million, two hundred forty thousand, four hundred".