682527456 has 216 divisors, whose sum is σ = 2164223880. Its totient is φ = 203793408.

The previous prime is 682527437. The next prime is 682527479. The reversal of 682527456 is 654725286.

682527456 is a `hidden beast` number, since 6 + 82 + 527 + 45 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1800675 + ... + 1801053.

It is an arithmetic number, because the mean of its divisors is an integer number (10019555).

Almost surely, 2^682527456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 682527456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1082111940).

682527456 is an abundant number, since it is smaller than the sum of its proper divisors (1481696424).

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

682527456 is a wasteful number, since it uses less digits than its factorization.

682527456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 434 counting only the distinct ones).

The product of its digits is 806400, while the sum is 45.

The square root of 682527456 is about 26125.2264296408. The cubic root of 682527456 is about 880.4540769523.

The spelling of 682527456 in words is "six hundred eighty-two million, five hundred twenty-seven thousand, four hundred fifty-six".