1945563840 has 336 divisors, whose sum is σ = 7548250080. Its totient is φ = 471398400.

The previous prime is 1945563821. The next prime is 1945563847. The reversal of 1945563840 is 483655491.

1945563840 is a `hidden beast` number, since 1 + 9 + 4 + 5 + 5 + 638 + 4 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1945563847) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1044510 + ... + 1046370.

It is an arithmetic number, because the mean of its divisors is an integer number (22465030).

Almost surely, 2^1945563840 is an apocalyptic number.

1945563840 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 1945563840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3774125040).

1945563840 is an abundant number, since it is smaller than the sum of its proper divisors (5602686240).

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

1945563840 is a wasteful number, since it uses less digits than its factorization.

1945563840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1909 (or 1882 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 1945563840 is about 44108.5461107029. The cubic root of 1945563840 is about 1248.3848665072.

The spelling of 1945563840 in words is "one billion, nine hundred forty-five million, five hundred sixty-three thousand, eight hundred forty".