1260586404 has 144 divisors (see below), whose sum is σ = 4021355520. Its totient is φ = 323421120.

The previous prime is 1260586403. The next prime is 1260586493. The reversal of 1260586404 is 4046850621.

1260586404 is a `hidden beast` number, since 1 + 2 + 6 + 0 + 5 + 8 + 640 + 4 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1260586403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 227337 + ... + 232815.

It is an arithmetic number, because the mean of its divisors is an integer number (27926080).

Almost surely, 2^1260586404 is an apocalyptic number.

1260586404 is a gapful number since it is divisible by the number (14) 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 1260586404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2010677760).

1260586404 is an abundant number, since it is smaller than the sum of its proper divisors (2760769116).

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

1260586404 is a wasteful number, since it uses less digits than its factorization.

1260586404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5590 (or 5585 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 1260586404 is about 35504.7377683599. The cubic root of 1260586404 is about 1080.2498290356.

The spelling of 1260586404 in words is "one billion, two hundred sixty million, five hundred eighty-six thousand, four hundred four".