1024265440 has 96 divisors (see below), whose sum is σ = 2754694656. Its totient is φ = 356252160.

The previous prime is 1024265423. The next prime is 1024265447. The reversal of 1024265440 is 445624201.

It is a junction number, because it is equal to n+sod(n) for n = 1024265399 and 1024265408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1024265447) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 27829 + ... + 53131.

It is an arithmetic number, because the mean of its divisors is an integer number (28694736).

Almost surely, 2^1024265440 is an apocalyptic number.

1024265440 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 1024265440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1377347328).

1024265440 is an abundant number, since it is smaller than the sum of its proper divisors (1730429216).

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

1024265440 is a wasteful number, since it uses less digits than its factorization.

1024265440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25352 (or 25344 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

The square root of 1024265440 is about 32004.1472312574. The cubic root of 1024265440 is about 1008.0239244343.

Adding to 1024265440 its reverse (445624201), we get a palindrome (1469889641).

The spelling of 1024265440 in words is "one billion, twenty-four million, two hundred sixty-five thousand, four hundred forty".