46960 has 20 divisors (see below), whose sum is σ = 109368. Its totient is φ = 18752.

The previous prime is 46957. The next prime is 46993. The reversal of 46960 is 6964.

It is a tau number, because it is divible by the number of its divisors (20).

It is a nialpdrome in base 15 and base 16.

It is a zygodrome in base 15.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 214 + ... + 373.

2⁴⁶⁹⁶⁰ is an apocalyptic number.

46960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

46960 is an abundant number, since it is smaller than the sum of its proper divisors (62408).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54684).

46960 is a wasteful number, since it uses less digits than its factorization.

46960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600 (or 594 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 46960 is about 216.7025611293. The cubic root of 46960 is about 36.0780200912.

It can be divided in two parts, 469 and 60, that added together give a square (529 = 23²).

The spelling of 46960 in words is "forty-six thousand, nine hundred sixty".