1257748560 has 480 divisors, whose sum is σ = 4777194240. Its totient is φ = 306561024.

The previous prime is 1257748559. The next prime is 1257748573. The reversal of 1257748560 is 658477521.

1257748560 is a `hidden beast` number, since 12 + 5 + 7 + 74 + 8 + 560 = 666.

1257748560 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12966432 + ... + 12966528.

It is an arithmetic number, because the mean of its divisors is an integer number (9952488).

Almost surely, 2^1257748560 is an apocalyptic number.

1257748560 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 1257748560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2388597120).

1257748560 is an abundant number, since it is smaller than the sum of its proper divisors (3519445680).

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

1257748560 is a wasteful number, since it uses less digits than its factorization.

1257748560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The square root of 1257748560 is about 35464.7509507680. The cubic root of 1257748560 is about 1079.4385971124.

The spelling of 1257748560 in words is "one billion, two hundred fifty-seven million, seven hundred forty-eight thousand, five hundred sixty".