1245458760 has 256 divisors, whose sum is σ = 4869849600. Its totient is φ = 247283712.

The previous prime is 1245458723. The next prime is 1245458801. The reversal of 1245458760 is 678545421.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 182286 + ... + 188994.

It is an arithmetic number, because the mean of its divisors is an integer number (19022850).

Almost surely, 2^1245458760 is an apocalyptic number.

1245458760 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 1245458760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2434924800).

1245458760 is an abundant number, since it is smaller than the sum of its proper divisors (3624390840).

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

1245458760 is a wasteful number, since it uses less digits than its factorization.

1245458760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6760 (or 6756 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 42.

The square root of 1245458760 is about 35291.0577908909. The cubic root of 1245458760 is about 1075.9112547326.

The spelling of 1245458760 in words is "one billion, two hundred forty-five million, four hundred fifty-eight thousand, seven hundred sixty".