1745385408 has 336 divisors, whose sum is σ = 5708233440. Its totient is φ = 525533184.

The previous prime is 1745385379. The next prime is 1745385413. The reversal of 1745385408 is 8045835471.

1745385408 is a `hidden beast` number, since 1 + 74 + 5 + 38 + 540 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17993616 + ... + 17993712.

It is an arithmetic number, because the mean of its divisors is an integer number (16988790).

Almost surely, 2^1745385408 is an apocalyptic number.

1745385408 is a gapful number since it is divisible by the number (18) 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 1745385408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2854116720).

1745385408 is an abundant number, since it is smaller than the sum of its proper divisors (3962848032).

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

1745385408 is an equidigital number, since it uses as much as digits as its factorization.

1745385408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The square root of 1745385408 is about 41777.8099952594. The cubic root of 1745385408 is about 1204.0109784395.

The spelling of 1745385408 in words is "one billion, seven hundred forty-five million, three hundred eighty-five thousand, four hundred eight".