1225744520 has 320 divisors, whose sum is σ = 3896121600. Its totient is φ = 337328640.

The previous prime is 1225744501. The next prime is 1225744577. The reversal of 1225744520 is 254475221.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 53293229 + ... + 53293251.

It is an arithmetic number, because the mean of its divisors is an integer number (12175380).

Almost surely, 2^1225744520 is an apocalyptic number.

1225744520 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 1225744520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1948060800).

1225744520 is an abundant number, since it is smaller than the sum of its proper divisors (2670377080).

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

1225744520 is a wasteful number, since it uses less digits than its factorization.

1225744520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 32.

The square root of 1225744520 is about 35010.6343844267. The cubic root of 1225744520 is about 1070.2042059377.

The spelling of 1225744520 in words is "one billion, two hundred twenty-five million, seven hundred forty-four thousand, five hundred twenty".