1972455200 has 108 divisors (see below), whose sum is σ = 4951663542. Its totient is φ = 767232000.

The previous prime is 1972455187. The next prime is 1972455217. The reversal of 1972455200 is 25542791.

It can be written as a sum of positive squares in 9 ways, for example, as 449270416 + 1523184784 = 21196^2 + 39028^2 .

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 17 ways as a sum of consecutive naturals, for example, 1094300 + ... + 1096100.

Almost surely, 2^1972455200 is an apocalyptic number.

1972455200 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 1972455200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2475831771).

1972455200 is an abundant number, since it is smaller than the sum of its proper divisors (2979208342).

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

1972455200 is a wasteful number, since it uses less digits than its factorization.

1972455200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1895 (or 1845 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 35.

The square root of 1972455200 is about 44412.3316208460. The cubic root of 1972455200 is about 1254.1102458893.

Adding to 1972455200 its reverse (25542791), we get a palindrome (1997997991).

The spelling of 1972455200 in words is "one billion, nine hundred seventy-two million, four hundred fifty-five thousand, two hundred".