1225405960 has 64 divisors (see below), whose sum is σ = 2954880000. Its totient is φ = 456166656.

The previous prime is 1225405957. The next prime is 1225405999. The reversal of 1225405960 is 695045221.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16041 + ... + 52039.

It is an arithmetic number, because the mean of its divisors is an integer number (46170000).

Almost surely, 2^1225405960 is an apocalyptic number.

1225405960 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 1225405960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1477440000).

1225405960 is an abundant number, since it is smaller than the sum of its proper divisors (1729474040).

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

1225405960 is a wasteful number, since it uses less digits than its factorization.

1225405960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36070 (or 36066 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 34.

The square root of 1225405960 is about 35005.7989481743. The cubic root of 1225405960 is about 1070.1056640055.

The spelling of 1225405960 in words is "one billion, two hundred twenty-five million, four hundred five thousand, nine hundred sixty".