46976688 has 120 divisors (see below), whose sum is σ = 146704896. Its totient is φ = 13910400.

The previous prime is 46976681. The next prime is 46976689. The reversal of 46976688 is 88667964.

46976688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (46976681) 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 23 ways as a sum of consecutive naturals, for example, 74133 + ... + 74763.

Almost surely, 2^46976688 is an apocalyptic number.

46976688 is a gapful number since it is divisible by the number (48) 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 46976688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73352448).

46976688 is an abundant number, since it is smaller than the sum of its proper divisors (99728208).

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

46976688 is a wasteful number, since it uses less digits than its factorization.

46976688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 703 (or 694 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The square root of 46976688 is about 6853.9541871828. The cubic root of 46976688 is about 360.8229322219.

The spelling of 46976688 in words is "forty-six million, nine hundred seventy-six thousand, six hundred eighty-eight".