46688256 has 144 divisors (see below), whose sum is σ = 143734500. Its totient is φ = 14548992.

The previous prime is 46688237. The next prime is 46688261. The reversal of 46688256 is 65288664.

It can be written as a sum of positive squares in 2 ways, for example, as 46457856 + 230400 = 6816^2 + 480^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 313270 + ... + 313418.

Almost surely, 2^46688256 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 46688256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71867250).

46688256 is an abundant number, since it is smaller than the sum of its proper divisors (97046244).

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

46688256 is a wasteful number, since it uses less digits than its factorization.

46688256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 171 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 46688256 is about 6832.8805053213. The cubic root of 46688256 is about 360.0829438513.

The spelling of 46688256 in words is "forty-six million, six hundred eighty-eight thousand, two hundred fifty-six".