29464 has 16 divisors (see below), whose sum is σ = 57600. Its totient is φ = 14112.

The previous prime is 29453. The next prime is 29473. The reversal of 29464 is 46492.

It is an Ulam number.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

29464 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 169 + ... + 295.

It is an arithmetic number, because the mean of its divisors is an integer number (3600).

2²⁹⁴⁶⁴ is an apocalyptic number.

It is an amenable number.

29464 is a deficient number, since it is larger than the sum of its proper divisors (28136).

29464 is a wasteful number, since it uses less digits than its factorization.

29464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 158 counting only the distinct ones).

The product of its digits is 1728, while the sum is 25.

The square root of 29464 is about 171.6508083290. The cubic root of 29464 is about 30.8861589369.

It can be divided in two parts, 29 and 464, that multiplied together give a square (13456 = 116²).

The spelling of 29464 in words is "twenty-nine thousand, four hundred sixty-four".