46972688 has 80 divisors (see below), whose sum is σ = 109326336. Its totient is φ = 19128960.

The previous prime is 46972669. The next prime is 46972691. The reversal of 46972688 is 88627964.

46972688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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, 288095 + ... + 288257.

Almost surely, 2^46972688 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 46972688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54663168).

46972688 is an abundant number, since it is smaller than the sum of its proper divisors (62353648).

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

46972688 is a wasteful number, since it uses less digits than its factorization.

46972688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 286 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 50.

The square root of 46972688 is about 6853.6623786119. The cubic root of 46972688 is about 360.8126907400.

The spelling of 46972688 in words is "forty-six million, nine hundred seventy-two thousand, six hundred eighty-eight".