1024464480 has 288 divisors, whose sum is σ = 3562737696. Its totient is φ = 247283712.

The previous prime is 1024464479. The next prime is 1024464481. The reversal of 1024464480 is 844644201.

It is an interprime number because it is at equal distance from previous prime (1024464479) and next prime (1024464481).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1024464481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5921674 + ... + 5921846.

It is an arithmetic number, because the mean of its divisors is an integer number (12370617).

Almost surely, 2^1024464480 is an apocalyptic number.

1024464480 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 1024464480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1781368848).

1024464480 is an abundant number, since it is smaller than the sum of its proper divisors (2538273216).

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

1024464480 is a wasteful number, since it uses less digits than its factorization.

1024464480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 33.

The square root of 1024464480 is about 32007.2566771974. The cubic root of 1024464480 is about 1008.0892148298.

The spelling of 1024464480 in words is "one billion, twenty-four million, four hundred sixty-four thousand, four hundred eighty".