1048101408 has 216 divisors, whose sum is σ = 3336320988. Its totient is φ = 310984704.

The previous prime is 1048101407. The next prime is 1048101473. The reversal of 1048101408 is 8041018401.

It can be written as a sum of positive squares in 2 ways, for example, as 1004382864 + 43718544 = 31692^2 + 6612^2 .

It is a super-2 number, since 2×1048101408² = 2197033122903164928, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1048101401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1767160 + ... + 1767752.

Almost surely, 2^1048101408 is an apocalyptic number.

1048101408 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 1048101408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1668160494).

1048101408 is an abundant number, since it is smaller than the sum of its proper divisors (2288219580).

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

1048101408 is a wasteful number, since it uses less digits than its factorization.

1048101408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 1048101408 is about 32374.3943263808. The cubic root of 1048101408 is about 1015.7833770503.

Adding to 1048101408 its reverse (8041018401), we get a palindrome (9089119809).

The spelling of 1048101408 in words is "one billion, forty-eight million, one hundred one thousand, four hundred eight".