1965400000 has 168 divisors, whose sum is σ = 5047926912. Its totient is φ = 758400000.

The previous prime is 1965399983. The next prime is 1965400001. The reversal of 1965400000 is 45691.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1965400001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6199842 + ... + 6200158.

It is an arithmetic number, because the mean of its divisors is an integer number (30047184).

Almost surely, 2^1965400000 is an apocalyptic number.

1965400000 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 1965400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2523963456).

1965400000 is an abundant number, since it is smaller than the sum of its proper divisors (3082526912).

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

1965400000 is an frugal number, since it uses more digits than its factorization.

1965400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

The square root of 1965400000 is about 44332.8320773668. The cubic root of 1965400000 is about 1252.6131998091.

Adding to 1965400000 its reverse (45691), we get a palindrome (1965445691).

The spelling of 1965400000 in words is "one billion, nine hundred sixty-five million, four hundred thousand".