1024133460 has 48 divisors (see below), whose sum is σ = 3277228416. Its totient is φ = 234087552.

The previous prime is 1024133423. The next prime is 1024133477. The reversal of 1024133460 is 643314201.

It is a self number, because there is not a number n which added to its sum of digits gives 1024133460.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 1218787 + ... + 1219626.

It is an arithmetic number, because the mean of its divisors is an integer number (68275592).

Almost surely, 2^1024133460 is an apocalyptic number.

1024133460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1024133460 is an abundant number, since it is smaller than the sum of its proper divisors (2253094956).

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

1024133460 is a wasteful number, since it uses less digits than its factorization.

1024133460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2438432 (or 2438430 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 1024133460 is about 32002.0852445587. The cubic root of 1024133460 is about 1007.9806268322.

Adding to 1024133460 its reverse (643314201), we get a palindrome (1667447661).

The spelling of 1024133460 in words is "one billion, twenty-four million, one hundred thirty-three thousand, four hundred sixty".