1257684480 has 720 divisors, whose sum is σ = 5256828720. Its totient is φ = 276037632.

The previous prime is 1257684479. The next prime is 1257684529. The reversal of 1257684480 is 844867521.

1257684480 is a `hidden beast` number, since 1 + 25 + 76 + 84 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 71 ways as a sum of consecutive naturals, for example, 66193911 + ... + 66193929.

It is an arithmetic number, because the mean of its divisors is an integer number (7301151).

Almost surely, 2^1257684480 is an apocalyptic number.

1257684480 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 1257684480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2628414360).

1257684480 is an abundant number, since it is smaller than the sum of its proper divisors (3999144240).

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

1257684480 is a wasteful number, since it uses less digits than its factorization.

1257684480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The square root of 1257684480 is about 35463.8475070035. The cubic root of 1257684480 is about 1079.4202649904.

The spelling of 1257684480 in words is "one billion, two hundred fifty-seven million, six hundred eighty-four thousand, four hundred eighty".