46642960 has 160 divisors (see below), whose sum is σ = 137491200. Its totient is φ = 14321664.

The previous prime is 46642931. The next prime is 46642987. The reversal of 46642960 is 6924664.

46642960 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 31 ways as a sum of consecutive naturals, for example, 312966 + ... + 313114.

It is an arithmetic number, because the mean of its divisors is an integer number (859320).

Almost surely, 2^46642960 is an apocalyptic number.

46642960 is a gapful number since it is divisible by the number (40) 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 46642960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68745600).

46642960 is an abundant number, since it is smaller than the sum of its proper divisors (90848240).

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

46642960 is a wasteful number, since it uses less digits than its factorization.

46642960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 37.

The square root of 46642960 is about 6829.5651398899. The cubic root of 46642960 is about 359.9664577802.

It can be divided in two parts, 466429 and 60, that added together give a square (466489 = 683²).

The spelling of 46642960 in words is "forty-six million, six hundred forty-two thousand, nine hundred sixty".