351225600 has 216 divisors, whose sum is σ = 1265252352. Its totient is φ = 85094400.

The previous prime is 351225599. The next prime is 351225607. The reversal of 351225600 is 6522153.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (351225607) 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, 210369 + ... + 212031.

Almost surely, 2^351225600 is an apocalyptic number.

351225600 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 351225600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632626176).

351225600 is an abundant number, since it is smaller than the sum of its proper divisors (914026752).

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

351225600 is a wasteful number, since it uses less digits than its factorization.

351225600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1703 (or 1684 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 351225600 is about 18741.0138466413. The cubic root of 351225600 is about 705.5515024694.

Adding to 351225600 its reverse (6522153), we get a palindrome (357747753).

The spelling of 351225600 in words is "three hundred fifty-one million, two hundred twenty-five thousand, six hundred".