1225758480 has 80 divisors (see below), whose sum is σ = 4023385344. Its totient is φ = 307640320.

The previous prime is 1225758451. The next prime is 1225758493. The reversal of 1225758480 is 848575221.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 146136 + ... + 154295.

Almost surely, 2^1225758480 is an apocalyptic number.

1225758480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1225758480 is an abundant number, since it is smaller than the sum of its proper divisors (2797626864).

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

1225758480 is a wasteful number, since it uses less digits than its factorization.

1225758480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300464 (or 300458 counting only the distinct ones).

The product of its (nonzero) digits is 179200, while the sum is 42.

The square root of 1225758480 is about 35010.8337518546. The cubic root of 1225758480 is about 1070.2082687729.

The spelling of 1225758480 in words is "one billion, two hundred twenty-five million, seven hundred fifty-eight thousand, four hundred eighty".