1258401312 has 384 divisors, whose sum is σ = 4528742400. Its totient is φ = 331941888.

The previous prime is 1258401299. The next prime is 1258401329. The reversal of 1258401312 is 2131048521.

1258401312 is a `hidden beast` number, since 1 + 258 + 401 + 3 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 5400748 + ... + 5400980.

It is an arithmetic number, because the mean of its divisors is an integer number (11793600).

Almost surely, 2^1258401312 is an apocalyptic number.

1258401312 is a gapful number since it is divisible by the number (12) 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 1258401312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2264371200).

1258401312 is an abundant number, since it is smaller than the sum of its proper divisors (3270341088).

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

1258401312 is a wasteful number, since it uses less digits than its factorization.

1258401312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 1258401312 is about 35473.9525849601. The cubic root of 1258401312 is about 1079.6253021152.

Adding to 1258401312 its reverse (2131048521), we get a palindrome (3389449833).

The spelling of 1258401312 in words is "one billion, two hundred fifty-eight million, four hundred one thousand, three hundred twelve".