1225353600 has 288 divisors, whose sum is σ = 4416428640. Its totient is φ = 323481600.

The previous prime is 1225353599. The next prime is 1225353607. The reversal of 1225353600 is 63535221.

1225353600 is a `hidden beast` number, since 1 + 2 + 2 + 5 + 3 + 53 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1225353607) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4521465 + ... + 4521735.

Almost surely, 2^1225353600 is an apocalyptic number.

1225353600 is a gapful number since it is divisible by the number (10) 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 1225353600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2208214320).

1225353600 is an abundant number, since it is smaller than the sum of its proper divisors (3191075040).

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

1225353600 is a wasteful number, since it uses less digits than its factorization.

1225353600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 1225353600 is about 35005.0510640964. The cubic root of 1225353600 is about 1070.0904223815.

Adding to 1225353600 its reverse (63535221), we get a palindrome (1288888821).

The spelling of 1225353600 in words is "one billion, two hundred twenty-five million, three hundred fifty-three thousand, six hundred".