46976960 has 56 divisors (see below), whose sum is σ = 113452656. Its totient is φ = 18524160.

The previous prime is 46976947. The next prime is 46976977. The reversal of 46976960 is 6967964.

46976960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 22355 + ... + 24365.

Almost surely, 2^46976960 is an apocalyptic number.

46976960 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 46976960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56726328).

46976960 is an abundant number, since it is smaller than the sum of its proper divisors (66475696).

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

46976960 is a wasteful number, since it uses less digits than its factorization.

46976960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2101 (or 2091 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 47.

The square root of 46976960 is about 6853.9740297144. The cubic root of 46976960 is about 360.8236286215.

The spelling of 46976960 in words is "forty-six million, nine hundred seventy-six thousand, nine hundred sixty".