1225252480 has 32 divisors (see below), whose sum is σ = 2929120740. Its totient is φ = 490100736.

The previous prime is 1225252471. The next prime is 1225252507. The reversal of 1225252480 is 842525221.

It can be written as a sum of positive squares in 2 ways, for example, as 1020419136 + 204833344 = 31944^2 + 14312^2 .

It is a tau number, because it is divible by the number of its divisors (32).

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 3 ways as a sum of consecutive naturals, for example, 956589 + ... + 957868.

Almost surely, 2^1225252480 is an apocalyptic number.

1225252480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1225252480 is an abundant number, since it is smaller than the sum of its proper divisors (1703868260).

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

1225252480 is an equidigital number, since it uses as much as digits as its factorization.

1225252480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1914476 (or 1914464 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 31.

The square root of 1225252480 is about 35003.6066713132. The cubic root of 1225252480 is about 1070.0609858389.

The spelling of 1225252480 in words is "one billion, two hundred twenty-five million, two hundred fifty-two thousand, four hundred eighty".