1024468992 has 192 divisors, whose sum is σ = 3082060800. Its totient is φ = 336199680.

The previous prime is 1024468981. The next prime is 1024469021. The reversal of 1024468992 is 2998644201.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5363617 + ... + 5363807.

It is an arithmetic number, because the mean of its divisors is an integer number (16052400).

Almost surely, 2^1024468992 is an apocalyptic number.

1024468992 is a gapful number since it is divisible by the number (12) 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 1024468992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1541030400).

1024468992 is an abundant number, since it is smaller than the sum of its proper divisors (2057591808).

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

1024468992 is an equidigital number, since it uses as much as digits as its factorization.

1024468992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 1024468992 is about 32007.3271611361. The cubic root of 1024468992 is about 1008.0906947873.

The spelling of 1024468992 in words is "one billion, twenty-four million, four hundred sixty-eight thousand, nine hundred ninety-two".