46952160 has 96 divisors (see below), whose sum is σ = 153044640. Its totient is φ = 12085248.

The previous prime is 46952159. The next prime is 46952161. The reversal of 46952160 is 6125964.

46952160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (46952159) and next prime (46952161).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46952161) 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 15 ways as a sum of consecutive naturals, for example, 12234 + ... + 15606.

It is an arithmetic number, because the mean of its divisors is an integer number (1594215).

Almost surely, 2^46952160 is an apocalyptic number.

46952160 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 46952160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76522320).

46952160 is an abundant number, since it is smaller than the sum of its proper divisors (106092480).

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

46952160 is a wasteful number, since it uses less digits than its factorization.

46952160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3420 (or 3412 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 46952160 is about 6852.1646214901. The cubic root of 46952160 is about 360.7601223046.

The spelling of 46952160 in words is "forty-six million, nine hundred fifty-two thousand, one hundred sixty".