466849656 has 432 divisors, whose sum is σ = 1708597800. Its totient is φ = 118879488.

The previous prime is 466849639. The next prime is 466849661. The reversal of 466849656 is 656948664.

466849656 is a `hidden beast` number, since 46 + 68 + 496 + 56 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (7464960) is a multiple of the sum of its prime divisors (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 16098250 + ... + 16098278.

Almost surely, 2^466849656 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 466849656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (854298900).

466849656 is an abundant number, since it is smaller than the sum of its proper divisors (1241748144).

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

466849656 is a wasteful number, since it uses less digits than its factorization.

466849656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 54 counting only the distinct ones).

The product of its digits is 7464960, while the sum is 54.

The square root of 466849656 is about 21606.7039596510. The cubic root of 466849656 is about 775.7569605916.

The spelling of 466849656 in words is "four hundred sixty-six million, eight hundred forty-nine thousand, six hundred fifty-six".