1138008480 has 192 divisors, whose sum is σ = 4125800448. Its totient is φ = 258278400.

The previous prime is 1138008479. The next prime is 1138008491. The reversal of 1138008480 is 848008311.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 506239 + ... + 508481.

It is an arithmetic number, because the mean of its divisors is an integer number (21488544).

Almost surely, 2^1138008480 is an apocalyptic number.

1138008480 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 1138008480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2062900224).

1138008480 is an abundant number, since it is smaller than the sum of its proper divisors (2987791968).

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

1138008480 is a wasteful number, since it uses less digits than its factorization.

1138008480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2419 (or 2411 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 33.

The square root of 1138008480 is about 33734.3812748952. The cubic root of 1138008480 is about 1044.0352595951.

The spelling of 1138008480 in words is "one billion, one hundred thirty-eight million, eight thousand, four hundred eighty".