1020456800 has 144 divisors (see below), whose sum is σ = 2763666864. Its totient is φ = 364800000.

The previous prime is 1020456751. The next prime is 1020456869. The reversal of 1020456800 is 86540201.

It is a self number, because there is not a number n which added to its sum of digits gives 1020456800.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 535850 + ... + 537750.

It is an arithmetic number, because the mean of its divisors is an integer number (19192131).

Almost surely, 2^1020456800 is an apocalyptic number.

1020456800 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 1020456800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1381833432).

1020456800 is an abundant number, since it is smaller than the sum of its proper divisors (1743210064).

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

1020456800 is a wasteful number, since it uses less digits than its factorization.

1020456800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1993 (or 1980 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 1020456800 is about 31944.5895262406. The cubic root of 1020456800 is about 1006.7729568240.

The spelling of 1020456800 in words is "one billion, twenty million, four hundred fifty-six thousand, eight hundred".