1023048000 has 336 divisors, whose sum is σ = 3944727696. Its totient is φ = 251596800.

The previous prime is 1023047941. The next prime is 1023048007. The reversal of 1023048000 is 8403201.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 208744704 + 814303296 = 14448^2 + 28536^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1023048007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 935454 + ... + 936546.

It is an arithmetic number, because the mean of its divisors is an integer number (11740261).

Almost surely, 2^1023048000 is an apocalyptic number.

1023048000 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 1023048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1972363848).

1023048000 is an abundant number, since it is smaller than the sum of its proper divisors (2921679696).

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

1023048000 is a wasteful number, since it uses less digits than its factorization.

1023048000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1139 (or 1116 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1023048000 is about 31985.1215411166. The cubic root of 1023048000 is about 1007.6243876413.

The spelling of 1023048000 in words is "one billion, twenty-three million, forty-eight thousand".