46956672 has 160 divisors (see below), whose sum is σ = 159952320. Its totient is φ = 13395456.

The previous prime is 46956643. The next prime is 46956673. The reversal of 46956672 is 27665964.

It is not an unprimeable number, because it can be changed into a prime (46956673) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 72253 + ... + 72899.

It is an arithmetic number, because the mean of its divisors is an integer number (999702).

Almost surely, 2^46956672 is an apocalyptic number.

46956672 is a gapful number since it is divisible by the number (42) 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 46956672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79976160).

46956672 is an abundant number, since it is smaller than the sum of its proper divisors (112995648).

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

46956672 is an equidigital number, since it uses as much as digits as its factorization.

46956672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680 (or 659 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 46956672 is about 6852.4938526058. The cubic root of 46956672 is about 360.7716780210.

The spelling of 46956672 in words is "forty-six million, nine hundred fifty-six thousand, six hundred seventy-two".