1257970560 has 512 divisors, whose sum is σ = 5113774080. Its totient is φ = 255467520.

The previous prime is 1257970543. The next prime is 1257970561. The reversal of 1257970560 is 650797521.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1257970561) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9905217 + ... + 9905343.

It is an arithmetic number, because the mean of its divisors is an integer number (9987840).

Almost surely, 2^1257970560 is an apocalyptic number.

1257970560 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 1257970560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2556887040).

1257970560 is an abundant number, since it is smaller than the sum of its proper divisors (3855803520).

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

1257970560 is a wasteful number, since it uses less digits than its factorization.

1257970560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 132300, while the sum is 42.

The square root of 1257970560 is about 35467.8806809767. The cubic root of 1257970560 is about 1079.5021024580.

The spelling of 1257970560 in words is "one billion, two hundred fifty-seven million, nine hundred seventy thousand, five hundred sixty".