1014444960 has 192 divisors, whose sum is σ = 3446997120. Its totient is φ = 249937920.

The previous prime is 1014444943. The next prime is 1014444973. The reversal of 1014444960 is 694444101.

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, 372564 + ... + 375276.

It is an arithmetic number, because the mean of its divisors is an integer number (17953110).

Almost surely, 2^1014444960 is an apocalyptic number.

1014444960 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 1014444960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1723498560).

1014444960 is an abundant number, since it is smaller than the sum of its proper divisors (2432552160).

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

1014444960 is a wasteful number, since it uses less digits than its factorization.

1014444960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2791 (or 2783 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 1014444960 is about 31850.3525883153. The cubic root of 1014444960 is about 1004.7919868490.

The spelling of 1014444960 in words is "one billion, fourteen million, four hundred forty-four thousand, nine hundred sixty".