1020390048 has 336 divisors, whose sum is σ = 3331673856. Its totient is φ = 306063360.

The previous prime is 1020390013. The next prime is 1020390053. The reversal of 1020390048 is 8400930201.

1020390048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 55 ways as a sum of consecutive naturals, for example, 12293815 + ... + 12293897.

It is an arithmetic number, because the mean of its divisors is an integer number (9915696).

Almost surely, 2^1020390048 is an apocalyptic number.

1020390048 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 1020390048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1665836928).

1020390048 is an abundant number, since it is smaller than the sum of its proper divisors (2311283808).

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

1020390048 is an equidigital number, since it uses as much as digits as its factorization.

1020390048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1020390048 is about 31943.5446999859. The cubic root of 1020390048 is about 1006.7510040496.

The spelling of 1020390048 in words is "one billion, twenty million, three hundred ninety thousand, forty-eight".