1745199456 has 432 divisors, whose sum is σ = 6280630272. Its totient is φ = 415134720.

The previous prime is 1745199433. The next prime is 1745199493. The reversal of 1745199456 is 6549915471.

It is a happy number.

It is a super-2 number, since 2×1745199456² = 6091442282445391872, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1745199399 and 1745199408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13741665 + ... + 13741791.

It is an arithmetic number, because the mean of its divisors is an integer number (14538496).

Almost surely, 2^1745199456 is an apocalyptic number.

1745199456 is a gapful number since it is divisible by the number (16) 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 1745199456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3140315136).

1745199456 is an abundant number, since it is smaller than the sum of its proper divisors (4535430816).

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

1745199456 is a wasteful number, since it uses less digits than its factorization.

1745199456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 163 counting only the distinct ones).

The product of its digits is 1360800, while the sum is 51.

The square root of 1745199456 is about 41775.5844483354. The cubic root of 1745199456 is about 1203.9682187908.

The spelling of 1745199456 in words is "one billion, seven hundred forty-five million, one hundred ninety-nine thousand, four hundred fifty-six".