46764 has 24 divisors (see below), whose sum is σ = 121520. Its totient is φ = 15552.

The previous prime is 46757. The next prime is 46769.

Added to its reverse (46764) it gives a triangular number (93528 = T₄₃₂).

46764 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (46769) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 109 + ... + 324.

2⁴⁶⁷⁶⁴ is an apocalyptic number.

It is an amenable number.

46764 is an abundant number, since it is smaller than the sum of its proper divisors (74756).

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 (60760).

46764 is a wasteful number, since it uses less digits than its factorization.

46764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 438 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 46764 is about 216.2498554913. The cubic root of 46764 is about 36.0277563718.

The spelling of 46764 in words is "forty-six thousand, seven hundred sixty-four".