1973545560 has 480 divisors, whose sum is σ = 7985070720. Its totient is φ = 435456000.

The previous prime is 1973545543. The next prime is 1973545571. The reversal of 1973545560 is 655453791.

1973545560 is a `hidden beast` number, since 1 + 97 + 3 + 5 + 4 + 556 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 4921360 + ... + 4921760.

It is an arithmetic number, because the mean of its divisors is an integer number (16635564).

Almost surely, 2^1973545560 is an apocalyptic number.

1973545560 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 1973545560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3992535360).

1973545560 is an abundant number, since it is smaller than the sum of its proper divisors (6011525160).

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

1973545560 is a wasteful number, since it uses less digits than its factorization.

1973545560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 567000, while the sum is 45.

The square root of 1973545560 is about 44424.6053443359. The cubic root of 1973545560 is about 1254.3412912309.

The spelling of 1973545560 in words is "one billion, nine hundred seventy-three million, five hundred forty-five thousand, five hundred sixty".