46776 has 16 divisors (see below), whose sum is σ = 117000. Its totient is φ = 15584.

The previous prime is 46771. The next prime is 46807. The reversal of 46776 is 67764.

It is a d-powerful number, because it can be written as 4² + 6 + 7² + 7² + 6⁶ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46771) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 951 + ... + 998.

2⁴⁶⁷⁷⁶ is an apocalyptic number.

It is an amenable number.

46776 is an abundant number, since it is smaller than the sum of its proper divisors (70224).

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 (58500).

46776 is a wasteful number, since it uses less digits than its factorization.

46776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1958 (or 1954 counting only the distinct ones).

The product of its digits is 7056, while the sum is 30.

The square root of 46776 is about 216.2775993949. The cubic root of 46776 is about 36.0308377742.

The spelling of 46776 in words is "forty-six thousand, seven hundred seventy-six".