1685305440 has 480 divisors, whose sum is σ = 7325398080. Its totient is φ = 355332096.

The previous prime is 1685305439. The next prime is 1685305463. The reversal of 1685305440 is 445035861.

It is a happy number.

1685305440 is a `hidden beast` number, since 1 + 6 + 85 + 30 + 544 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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 = 1685305395 and 1685305404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1178646 + ... + 1180074.

It is an arithmetic number, because the mean of its divisors is an integer number (15261246).

Almost surely, 2^1685305440 is an apocalyptic number.

1685305440 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 1685305440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3662699040).

1685305440 is an abundant number, since it is smaller than the sum of its proper divisors (5640092640).

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

1685305440 is a wasteful number, since it uses less digits than its factorization.

1685305440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1476 (or 1459 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 1685305440 is about 41052.4717891627. The cubic root of 1685305440 is about 1190.0344692603.

The spelling of 1685305440 in words is "one billion, six hundred eighty-five million, three hundred five thousand, four hundred forty".