1955730800 has 120 divisors (see below), whose sum is σ = 4969138800. Its totient is φ = 737648640.

The previous prime is 1955730787. The next prime is 1955730811. The reversal of 1955730800 is 80375591.

It is a Harshad number since it is a multiple of its sum of digits (38).

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, 2104736 + ... + 2105664.

It is an arithmetic number, because the mean of its divisors is an integer number (41409490).

Almost surely, 2^1955730800 is an apocalyptic number.

1955730800 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 1955730800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2484569400).

1955730800 is an abundant number, since it is smaller than the sum of its proper divisors (3013408000).

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

1955730800 is a wasteful number, since it uses less digits than its factorization.

1955730800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1243 (or 1232 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 38.

The square root of 1955730800 is about 44223.6452590693. The cubic root of 1955730800 is about 1250.5556569597. Note that the first 3 decimals are identical.

The spelling of 1955730800 in words is "one billion, nine hundred fifty-five million, seven hundred thirty thousand, eight hundred".