456685669440 has 1344 divisors, whose sum is σ = 2124594501120. Its totient is φ = 86951854080.

The previous prime is 456685669421. The next prime is 456685669441. The reversal of 456685669440 is 44966586654.

456685669440 is a `hidden beast` number, since 4 + 5 + 6 + 68 + 566 + 9 + 4 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (456685669441) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 452611656 + ... + 452612664.

It is an arithmetic number, because the mean of its divisors is an integer number (1580799480).

Almost surely, 2^456685669440 is an apocalyptic number.

456685669440 is a gapful number since it is divisible by the number (40) 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 456685669440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1062297250560).

456685669440 is an abundant number, since it is smaller than the sum of its proper divisors (1667908831680).

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

456685669440 is a wasteful number, since it uses less digits than its factorization.

456685669440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1220 (or 1207 counting only the distinct ones).

The product of its (nonzero) digits is 149299200, while the sum is 63.

The spelling of 456685669440 in words is "four hundred fifty-six billion, six hundred eighty-five million, six hundred sixty-nine thousand, four hundred forty".