1258242048 has 360 divisors, whose sum is σ = 4416467328. Its totient is φ = 337379328.

The previous prime is 1258242023. The next prime is 1258242109. The reversal of 1258242048 is 8402428521.

1258242048 is a `hidden beast` number, since 12 + 582 + 4 + 20 + 48 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23740390 + ... + 23740442.

Almost surely, 2^1258242048 is an apocalyptic number.

1258242048 is a gapful number since it is divisible by the number (18) 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 1258242048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2208233664).

1258242048 is an abundant number, since it is smaller than the sum of its proper divisors (3158225280).

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

1258242048 is an equidigital number, since it uses as much as digits as its factorization.

1258242048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The square root of 1258242048 is about 35471.7077119216. The cubic root of 1258242048 is about 1079.5797541921.

The spelling of 1258242048 in words is "one billion, two hundred fifty-eight million, two hundred forty-two thousand, forty-eight".