1258565280 has 384 divisors, whose sum is σ = 4802789376. Its totient is φ = 270950400.

The previous prime is 1258565279. The next prime is 1258565291. The reversal of 1258565280 is 825658521.

1258565280 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 4478740 + ... + 4479020.

It is an arithmetic number, because the mean of its divisors is an integer number (12507264).

Almost surely, 2^1258565280 is an apocalyptic number.

1258565280 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 1258565280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2401394688).

1258565280 is an abundant number, since it is smaller than the sum of its proper divisors (3544224096).

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

1258565280 is a wasteful number, since it uses less digits than its factorization.

1258565280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 42.

The square root of 1258565280 is about 35476.2636138588. The cubic root of 1258565280 is about 1079.6721913208.

The spelling of 1258565280 in words is "one billion, two hundred fifty-eight million, five hundred sixty-five thousand, two hundred eighty".