1745400000 has 168 divisors, whose sum is σ = 5774161680. Its totient is φ = 465280000.

The previous prime is 1745399977. The next prime is 1745400017. The reversal of 1745400000 is 45471.

It is a self number, because there is not a number n which added to its sum of digits gives 1745400000.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 598546 + ... + 601454.

It is an arithmetic number, because the mean of its divisors is an integer number (34370010).

Almost surely, 2^1745400000 is an apocalyptic number.

1745400000 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 1745400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2887080840).

1745400000 is an abundant number, since it is smaller than the sum of its proper divisors (4028761680).

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

1745400000 is an frugal number, since it uses more digits than its factorization.

1745400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2949 (or 2919 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 21.

The square root of 1745400000 is about 41777.9846330576. The cubic root of 1745400000 is about 1204.0143337403.

Adding to 1745400000 its reverse (45471), we get a palindrome (1745445471).

The spelling of 1745400000 in words is "one billion, seven hundred forty-five million, four hundred thousand".