1021470800 has 120 divisors (see below), whose sum is σ = 2836872000. Its totient is φ = 346199040.

The previous prime is 1021470773. The next prime is 1021470817. The reversal of 1021470800 is 80741201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 247151 + ... + 251249.

It is an arithmetic number, because the mean of its divisors is an integer number (23640600).

Almost surely, 2^1021470800 is an apocalyptic number.

1021470800 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 1021470800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1418436000).

1021470800 is an abundant number, since it is smaller than the sum of its proper divisors (1815401200).

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

1021470800 is a wasteful number, since it uses less digits than its factorization.

1021470800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4213 (or 4202 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 23.

The square root of 1021470800 is about 31960.4568177615. The cubic root of 1021470800 is about 1007.1063140123.

The spelling of 1021470800 in words is "one billion, twenty-one million, four hundred seventy thousand, eight hundred".