1225417600 has 192 divisors, whose sum is σ = 3411924480. Its totient is φ = 430848000.

The previous prime is 1225417577. The next prime is 1225417601. The reversal of 1225417600 is 67145221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1225417601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1090639 + ... + 1091761.

It is an arithmetic number, because the mean of its divisors is an integer number (17770440).

Almost surely, 2^1225417600 is an apocalyptic number.

1225417600 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 1225417600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1705962240).

1225417600 is an abundant number, since it is smaller than the sum of its proper divisors (2186506880).

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

1225417600 is a wasteful number, since it uses less digits than its factorization.

1225417600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1189 (or 1172 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 1225417600 is about 35005.9652059474. The cubic root of 1225417600 is about 1070.1090522678.

The spelling of 1225417600 in words is "one billion, two hundred twenty-five million, four hundred seventeen thousand, six hundred".