1745344440 has 384 divisors, whose sum is σ = 6938680320. Its totient is φ = 371404800.

The previous prime is 1745344399. The next prime is 1745344441. The reversal of 1745344440 is 444435471.

1745344440 is a `hidden beast` number, since 174 + 5 + 3 + 44 + 440 = 666.

1745344440 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1745344395 and 1745344404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1745344441) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5611885 + ... + 5612195.

It is an arithmetic number, because the mean of its divisors is an integer number (18069480).

Almost surely, 2^1745344440 is an apocalyptic number.

1745344440 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 1745344440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3469340160).

1745344440 is an abundant number, since it is smaller than the sum of its proper divisors (5193335880).

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

1745344440 is a wasteful number, since it uses less digits than its factorization.

1745344440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 36.

The square root of 1745344440 is about 41777.3196842497. The cubic root of 1745344440 is about 1204.0015581118.

The spelling of 1745344440 in words is "one billion, seven hundred forty-five million, three hundred forty-four thousand, four hundred forty".