1945308960 has 480 divisors, whose sum is σ = 8052815232. Its totient is φ = 432967680.

The previous prime is 1945308943. The next prime is 1945308983. The reversal of 1945308960 is 698035491.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3719259 + ... + 3719781.

Almost surely, 2^1945308960 is an apocalyptic number.

1945308960 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 1945308960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4026407616).

1945308960 is an abundant number, since it is smaller than the sum of its proper divisors (6107506272).

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

1945308960 is a wasteful number, since it uses less digits than its factorization.

1945308960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 598 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 1945308960 is about 44105.6567800549. The cubic root of 1945308960 is about 1248.3303489386.

The spelling of 1945308960 in words is "one billion, nine hundred forty-five million, three hundred eight thousand, nine hundred sixty".