1012883460 has 192 divisors, whose sum is σ = 3139928064. Its totient is φ = 242841600.

The previous prime is 1012883441. The next prime is 1012883489. The reversal of 1012883460 is 643882101.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 3256705 + ... + 3257015.

It is an arithmetic number, because the mean of its divisors is an integer number (16353792).

Almost surely, 2^1012883460 is an apocalyptic number.

1012883460 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 1012883460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1569964032).

1012883460 is an abundant number, since it is smaller than the sum of its proper divisors (2127044604).

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

1012883460 is a wasteful number, since it uses less digits than its factorization.

1012883460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 1012883460 is about 31825.8300755848. The cubic root of 1012883460 is about 1004.2761749304.

The spelling of 1012883460 in words is "one billion, twelve million, eight hundred eighty-three thousand, four hundred sixty".