1013849280 has 336 divisors, whose sum is σ = 3685032000. Its totient is φ = 255467520.

The previous prime is 1013849279. The next prime is 1013849297. The reversal of 1013849280 is 829483101.

It is a Cunningham number, because it is equal to 31841²-1.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5094621 + ... + 5094819.

Almost surely, 2^1013849280 is an apocalyptic number.

1013849280 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 1013849280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1842516000).

1013849280 is an abundant number, since it is smaller than the sum of its proper divisors (2671182720).

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

1013849280 is a wasteful number, since it uses less digits than its factorization.

1013849280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 1013849280 is about 31840.9999842970. Note that the first 4 decimals coincide. The cubic root of 1013849280 is about 1004.5952777436.

The spelling of 1013849280 in words is "one billion, thirteen million, eight hundred forty-nine thousand, two hundred eighty".