1748874960 has 240 divisors, whose sum is σ = 6738211584. Its totient is φ = 398204928.

The previous prime is 1748874917. The next prime is 1748874961. The reversal of 1748874960 is 694788471.

It is a happy number.

1748874960 is a `hidden beast` number, since 1 + 7 + 488 + 74 + 96 + 0 = 666.

1748874960 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 1748874897 and 1748874906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1748874961) 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, 1778629 + ... + 1779611.

Almost surely, 2^1748874960 is an apocalyptic number.

1748874960 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 1748874960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3369105792).

1748874960 is an abundant number, since it is smaller than the sum of its proper divisors (4989336624).

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

1748874960 is a wasteful number, since it uses less digits than its factorization.

1748874960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1362 (or 1353 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The square root of 1748874960 is about 41819.5523648927. The cubic root of 1748874960 is about 1204.8128380192.

The spelling of 1748874960 in words is "one billion, seven hundred forty-eight million, eight hundred seventy-four thousand, nine hundred sixty".