1252415760 has 80 divisors (see below), whose sum is σ = 3893750784. Its totient is φ = 333008896.

The previous prime is 1252415683. The next prime is 1252415771. The reversal of 1252415760 is 675142521.

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

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, 77329 + ... + 92111.

Almost surely, 2^1252415760 is an apocalyptic number.

1252415760 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 1252415760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1946875392).

1252415760 is an abundant number, since it is smaller than the sum of its proper divisors (2641335024).

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

1252415760 is a wasteful number, since it uses less digits than its factorization.

1252415760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15152 (or 15146 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 33.

The square root of 1252415760 is about 35389.4865744051. The cubic root of 1252415760 is about 1077.9108447395.

The spelling of 1252415760 in words is "one billion, two hundred fifty-two million, four hundred fifteen thousand, seven hundred sixty".