1965483520 has 480 divisors, whose sum is σ = 6469943040. Its totient is φ = 555909120.

The previous prime is 1965483479. The next prime is 1965483571. The reversal of 1965483520 is 253845691.

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 47 ways as a sum of consecutive naturals, for example, 33313251 + ... + 33313309.

It is an arithmetic number, because the mean of its divisors is an integer number (13479048).

Almost surely, 2^1965483520 is an apocalyptic number.

1965483520 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 1965483520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3234971520).

1965483520 is an abundant number, since it is smaller than the sum of its proper divisors (4504459520).

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

1965483520 is a wasteful number, since it uses less digits than its factorization.

1965483520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 43.

The square root of 1965483520 is about 44333.7740328973. The cubic root of 1965483520 is about 1252.6309428932.

The spelling of 1965483520 in words is "one billion, nine hundred sixty-five million, four hundred eighty-three thousand, five hundred twenty".