1745440320 has 448 divisors, whose sum is σ = 6667073280. Its totient is φ = 382205952.

The previous prime is 1745440297. The next prime is 1745440327. The reversal of 1745440320 is 230445471.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (1745440327) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4030824 + ... + 4031256.

It is an arithmetic number, because the mean of its divisors is an integer number (14881860).

Almost surely, 2^1745440320 is an apocalyptic number.

1745440320 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 1745440320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3333536640).

1745440320 is an abundant number, since it is smaller than the sum of its proper divisors (4921632960).

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

1745440320 is a wasteful number, since it uses less digits than its factorization.

1745440320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

The square root of 1745440320 is about 41778.4671810731. The cubic root of 1745440320 is about 1204.0236048690.

Adding to 1745440320 its reverse (230445471), we get a palindrome (1975885791).

The spelling of 1745440320 in words is "one billion, seven hundred forty-five million, four hundred forty thousand, three hundred twenty".