1946800800 has 648 divisors, whose sum is σ = 8357652576. Its totient is φ = 417623040.

The previous prime is 1946800783. The next prime is 1946800811. The reversal of 1946800800 is 80086491.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 18194347 + ... + 18194453.

It is an arithmetic number, because the mean of its divisors is an integer number (12897612).

Almost surely, 2^1946800800 is an apocalyptic number.

1946800800 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 1946800800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4178826288).

1946800800 is an abundant number, since it is smaller than the sum of its proper divisors (6410851776).

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

1946800800 is a wasteful number, since it uses less digits than its factorization.

1946800800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 1946800800 is about 44122.5656552291. The cubic root of 1946800800 is about 1248.6493785162.

The spelling of 1946800800 in words is "one billion, nine hundred forty-six million, eight hundred thousand, eight hundred".