1256532480 has 640 divisors, whose sum is σ = 5303232000. Its totient is φ = 281788416.

The previous prime is 1256532467. The next prime is 1256532521. The reversal of 1256532480 is 842356521.

1256532480 is a `hidden beast` number, since 1 + 256 + 5 + 324 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23708134 + ... + 23708186.

It is an arithmetic number, because the mean of its divisors is an integer number (8286300).

Almost surely, 2^1256532480 is an apocalyptic number.

1256532480 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 1256532480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2651616000).

1256532480 is an abundant number, since it is smaller than the sum of its proper divisors (4046699520).

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

1256532480 is an frugal number, since it uses more digits than its factorization.

1256532480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 1256532480 is about 35447.6018934991. The cubic root of 1256532480 is about 1079.0905924785.

The spelling of 1256532480 in words is "one billion, two hundred fifty-six million, five hundred thirty-two thousand, four hundred eighty".