1024492224 has 112 divisors (see below), whose sum is σ = 3137408000. Its totient is φ = 288976896.

The previous prime is 1024492219. The next prime is 1024492253. The reversal of 1024492224 is 4222944201.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 1024492191 and 1024492200.

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, 101352 + ... + 111000.

Almost surely, 2^1024492224 is an apocalyptic number.

1024492224 is a gapful number since it is divisible by the number (14) 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 1024492224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1568704000).

1024492224 is an abundant number, since it is smaller than the sum of its proper divisors (2112915776).

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

1024492224 is an equidigital number, since it uses as much as digits as its factorization.

1024492224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9750 (or 9740 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 1024492224 is about 32007.6900759802. The cubic root of 1024492224 is about 1008.0983149256.

The spelling of 1024492224 in words is "one billion, twenty-four million, four hundred ninety-two thousand, two hundred twenty-four".