46594656 has 96 divisors (see below), whose sum is σ = 137088000. Its totient is φ = 15396480.

The previous prime is 46594651. The next prime is 46594657. The reversal of 46594656 is 65649564.

46594656 = T₁₁₃ + T₁₁₄ + ... + T₆₅₄.

46594656 is a `hidden beast` number, since 4 + 6 + 594 + 6 + 56 = 666.

46594656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46594651) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 171801 + ... + 172071.

It is an arithmetic number, because the mean of its divisors is an integer number (1428000).

Almost surely, 2^46594656 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 46594656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68544000).

46594656 is an abundant number, since it is smaller than the sum of its proper divisors (90493344).

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

46594656 is a wasteful number, since it uses less digits than its factorization.

46594656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489 (or 475 counting only the distinct ones).

The product of its digits is 777600, while the sum is 45.

The square root of 46594656 is about 6826.0278346927. The cubic root of 46594656 is about 359.8421530221.

The spelling of 46594656 in words is "forty-six million, five hundred ninety-four thousand, six hundred fifty-six".