46056672 has 144 divisors (see below), whose sum is σ = 145061280. Its totient is φ = 13787136.

The previous prime is 46056643. The next prime is 46056679. The reversal of 46056672 is 27665064.

46056672 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 (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46056679) 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, 112404 + ... + 112812.

It is an arithmetic number, because the mean of its divisors is an integer number (1007370).

Almost surely, 2^46056672 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 46056672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72530640).

46056672 is an abundant number, since it is smaller than the sum of its proper divisors (99004608).

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

46056672 is a wasteful number, since it uses less digits than its factorization.

46056672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 46056672 is about 6786.5066123890. The cubic root of 46056672 is about 358.4518705484.

The spelling of 46056672 in words is "forty-six million, fifty-six thousand, six hundred seventy-two".