1955083200 has 336 divisors, whose sum is σ = 7571134464. Its totient is φ = 432230400.

The previous prime is 1955083199. The next prime is 1955083211. The reversal of 1955083200 is 23805591.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1040662 + ... + 1042538.

Almost surely, 2^1955083200 is an apocalyptic number.

1955083200 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 1955083200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3785567232).

1955083200 is an abundant number, since it is smaller than the sum of its proper divisors (5616051264).

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

1955083200 is a wasteful number, since it uses less digits than its factorization.

1955083200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1940 (or 1925 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 33.

The square root of 1955083200 is about 44216.3227779064. The cubic root of 1955083200 is about 1250.4176097994.

Adding to 1955083200 its reverse (23805591), we get a palindrome (1978888791).

The spelling of 1955083200 in words is "one billion, nine hundred fifty-five million, eighty-three thousand, two hundred".