1252836480 has 384 divisors, whose sum is σ = 4764493440. Its totient is φ = 274268160.

The previous prime is 1252836479. The next prime is 1252836499. The reversal of 1252836480 is 846382521.

It is a tau number, because it is divible by the number of its divisors (384).

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 47 ways as a sum of consecutive naturals, for example, 12915792 + ... + 12915888.

It is an arithmetic number, because the mean of its divisors is an integer number (12407535).

Almost surely, 2^1252836480 is an apocalyptic number.

1252836480 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 1252836480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2382246720).

1252836480 is an abundant number, since it is smaller than the sum of its proper divisors (3511656960).

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

1252836480 is an equidigital number, since it uses as much as digits as its factorization.

1252836480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The square root of 1252836480 is about 35395.4302135177. The cubic root of 1252836480 is about 1078.0315309349.

The spelling of 1252836480 in words is "one billion, two hundred fifty-two million, eight hundred thirty-six thousand, four hundred eighty".