351224400 has 120 divisors (see below), whose sum is σ = 1129274944. Its totient is φ = 93312000.

The previous prime is 351224383. The next prime is 351224407. The reversal of 351224400 is 4422153.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (351224407) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 584100 + ... + 584700.

Almost surely, 2^351224400 is an apocalyptic number.

351224400 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 351224400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564637472).

351224400 is an abundant number, since it is smaller than the sum of its proper divisors (778050544).

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

351224400 is a wasteful number, since it uses less digits than its factorization.

351224400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1109 (or 1098 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 351224400 is about 18740.9818312702. The cubic root of 351224400 is about 705.5506989376.

Adding to 351224400 its reverse (4422153), we get a palindrome (355646553).

The spelling of 351224400 in words is "three hundred fifty-one million, two hundred twenty-four thousand, four hundred".