46971672 has 64 divisors (see below), whose sum is σ = 128943360. Its totient is φ = 14140800.

The previous prime is 46971641. The next prime is 46971689. The reversal of 46971672 is 27617964.

46971672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 47293 + ... + 48275.

It is an arithmetic number, because the mean of its divisors is an integer number (2014740).

Almost surely, 2^46971672 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 46971672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64471680).

46971672 is an abundant number, since it is smaller than the sum of its proper divisors (81971688).

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

46971672 is a wasteful number, since it uses less digits than its factorization.

46971672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1184 (or 1180 counting only the distinct ones).

The product of its digits is 127008, while the sum is 42.

The square root of 46971672 is about 6853.5882572562. The cubic root of 46971672 is about 360.8100893110.

The spelling of 46971672 in words is "forty-six million, nine hundred seventy-one thousand, six hundred seventy-two".