1013446800 has 180 divisors, whose sum is σ = 3537268020. Its totient is φ = 268692480.

The previous prime is 1013446783. The next prime is 1013446817. The reversal of 1013446800 is 86443101.

It is an interprime number because it is at equal distance from previous prime (1013446783) and next prime (1013446817).

It can be written as a sum of positive squares in 6 ways, for example, as 6780816 + 1006665984 = 2604^2 + 31728^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 708486 + ... + 709914.

It is an arithmetic number, because the mean of its divisors is an integer number (19651489).

Almost surely, 2^1013446800 is an apocalyptic number.

1013446800 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 1013446800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1768634010).

1013446800 is an abundant number, since it is smaller than the sum of its proper divisors (2523821220).

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

1013446800 is a wasteful number, since it uses less digits than its factorization.

1013446800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1650 (or 1636 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1013446800 is about 31834.6792036609. The cubic root of 1013446800 is about 1004.4623247064.

Adding to 1013446800 its reverse (86443101), we get a palindrome (1099889901).

The spelling of 1013446800 in words is "one billion, thirteen million, four hundred forty-six thousand, eight hundred".