1024830144 has 336 divisors, whose sum is σ = 3393874848. Its totient is φ = 304570368.

The previous prime is 1024830127. The next prime is 1024830167. The reversal of 1024830144 is 4410384201.

It is a super-3 number, since 3×1024830144³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7480444 + ... + 7480580.

It is an arithmetic number, because the mean of its divisors is an integer number (10100818).

Almost surely, 2^1024830144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1024830144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1696937424).

1024830144 is an abundant number, since it is smaller than the sum of its proper divisors (2369044704).

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

1024830144 is a wasteful number, since it uses less digits than its factorization.

1024830144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 1024830144 is about 32012.9683722082. The cubic root of 1024830144 is about 1008.2091402780.

The spelling of 1024830144 in words is "one billion, twenty-four million, eight hundred thirty thousand, one hundred forty-four".