1024051248 has 200 divisors, whose sum is σ = 3346192080. Its totient is φ = 299496960.

The previous prime is 1024051243. The next prime is 1024051283. The reversal of 1024051248 is 8421504201.

1024051248 is a `hidden beast` number, since 10 + 2 + 405 + 1 + 248 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1024051243) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 412186 + ... + 414662.

Almost surely, 2^1024051248 is an apocalyptic number.

1024051248 is a gapful number since it is divisible by the number (18) 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 1024051248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1673096040).

1024051248 is an abundant number, since it is smaller than the sum of its proper divisors (2322140832).

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

1024051248 is a wasteful number, since it uses less digits than its factorization.

1024051248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2537 (or 2522 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 1024051248 is about 32000.8007399815. The cubic root of 1024051248 is about 1007.9536543317.

Adding to 1024051248 its reverse (8421504201), we get a palindrome (9445555449).

The spelling of 1024051248 in words is "one billion, twenty-four million, fifty-one thousand, two hundred forty-eight".