1685463552 has 480 divisors, whose sum is σ = 5719633920. Its totient is φ = 492687360.

The previous prime is 1685463539. The next prime is 1685463599. The reversal of 1685463552 is 2553645861.

1685463552 is a `hidden beast` number, since 1 + 6 + 8 + 5 + 4 + 635 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1685463498 and 1685463507.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54369777 + ... + 54369807.

It is an arithmetic number, because the mean of its divisors is an integer number (11915904).

Almost surely, 2^1685463552 is an apocalyptic number.

1685463552 is a gapful number since it is divisible by the number (12) 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 1685463552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2859816960).

1685463552 is an abundant number, since it is smaller than the sum of its proper divisors (4034170368).

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

1685463552 is an equidigital number, since it uses as much as digits as its factorization.

1685463552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 78 counting only the distinct ones).

The product of its digits is 864000, while the sum is 45.

The square root of 1685463552 is about 41054.3974745702. The cubic root of 1685463552 is about 1190.0716836511.

The spelling of 1685463552 in words is "one billion, six hundred eighty-five million, four hundred sixty-three thousand, five hundred fifty-two".