1258481664 has 192 divisors, whose sum is σ = 4068792000. Its totient is φ = 381173760.

The previous prime is 1258481659. The next prime is 1258481669. The reversal of 1258481664 is 4661848521.

It is a happy number.

1258481664 is a `hidden beast` number, since 1 + 2 + 584 + 8 + 1 + 6 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (1258481659) and next prime (1258481669).

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1258481669) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 607222 + ... + 609290.

It is an arithmetic number, because the mean of its divisors is an integer number (21191625).

Almost surely, 2^1258481664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1258481664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2034396000).

1258481664 is an abundant number, since it is smaller than the sum of its proper divisors (2810310336).

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

1258481664 is a wasteful number, since it uses less digits than its factorization.

1258481664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2111 (or 2085 counting only the distinct ones).

The product of its digits is 368640, while the sum is 45.

The square root of 1258481664 is about 35475.0851161770. The cubic root of 1258481664 is about 1079.6482805310.

The spelling of 1258481664 in words is "one billion, two hundred fifty-eight million, four hundred eighty-one thousand, six hundred sixty-four".