1048858800 has 240 divisors, whose sum is σ = 3693930240. Its totient is φ = 252288000.

The previous prime is 1048858793. The next prime is 1048858807. The reversal of 1048858800 is 88588401.

It is an interprime number because it is at equal distance from previous prime (1048858793) and next prime (1048858807).

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×1048858800² = 2200209564674880000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1048858807) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2388981 + ... + 2389419.

It is an arithmetic number, because the mean of its divisors is an integer number (15391376).

Almost surely, 2^1048858800 is an apocalyptic number.

1048858800 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 1048858800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1846965120).

1048858800 is an abundant number, since it is smaller than the sum of its proper divisors (2645071440).

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

1048858800 is a wasteful number, since it uses less digits than its factorization.

1048858800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 652 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 42.

The square root of 1048858800 is about 32386.0896064962. The cubic root of 1048858800 is about 1016.0279974511.

The spelling of 1048858800 in words is "one billion, forty-eight million, eight hundred fifty-eight thousand, eight hundred".