1258808320 has 352 divisors, whose sum is σ = 3923951616. Its totient is φ = 376012800.

The previous prime is 1258808269. The next prime is 1258808321. The reversal of 1258808320 is 238088521.

It is a tau number, because it is divible by the number of its divisors (352).

It is a self number, because there is not a number n which added to its sum of digits gives 1258808320.

It is not an unprimeable number, because it can be changed into a prime (1258808321) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 12221389 + ... + 12221491.

Almost surely, 2^1258808320 is an apocalyptic number.

1258808320 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 1258808320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1961975808).

1258808320 is an abundant number, since it is smaller than the sum of its proper divisors (2665143296).

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

1258808320 is a wasteful number, since it uses less digits than its factorization.

1258808320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 37.

The square root of 1258808320 is about 35479.6888374180. The cubic root of 1258808320 is about 1079.7416849059.

The spelling of 1258808320 in words is "one billion, two hundred fifty-eight million, eight hundred eight thousand, three hundred twenty".