1049078160 has 480 divisors, whose sum is σ = 4240978560. Its totient is φ = 229588992.

The previous prime is 1049078159. The next prime is 1049078167. The reversal of 1049078160 is 618709401.

1049078160 is a `hidden beast` number, since 1 + 0 + 490 + 7 + 8 + 160 = 666.

1049078160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1049078160² = 2201129971577971200, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1049078167) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3023107 + ... + 3023453.

It is an arithmetic number, because the mean of its divisors is an integer number (8835372).

Almost surely, 2^1049078160 is an apocalyptic number.

1049078160 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 1049078160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2120489280).

1049078160 is an abundant number, since it is smaller than the sum of its proper divisors (3191900400).

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

1049078160 is a wasteful number, since it uses less digits than its factorization.

1049078160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 1049078160 is about 32389.4760686245. The cubic root of 1049078160 is about 1016.0988237517.

The spelling of 1049078160 in words is "one billion, forty-nine million, seventy-eight thousand, one hundred sixty".