46704 has 40 divisors (see below), whose sum is σ = 138880. Its totient is φ = 13248.

The previous prime is 46703. The next prime is 46723. The reversal of 46704 is 40764.

46704 = T₁₁₂ + T₁₁₃ + ... + T₁₁₈.

46704 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 46704.

It is not an unprimeable number, because it can be changed into a prime (46703) 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, 267 + ... + 405.

It is an arithmetic number, because the mean of its divisors is an integer number (3472).

2⁴⁶⁷⁰⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69440).

46704 is an abundant number, since it is smaller than the sum of its proper divisors (92176).

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

46704 is a wasteful number, since it uses less digits than its factorization.

46704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 46704 is about 216.1110825478. Note that the first 3 decimals coincide. The cubic root of 46704 is about 36.0123414477.

The spelling of 46704 in words is "forty-six thousand, seven hundred four".