24464 has 20 divisors (see below), whose sum is σ = 52080. Its totient is φ = 11040.

The previous prime is 24443. The next prime is 24469. The reversal of 24464 is 46442.

24464 = T₂₂ + T₂₃ + ... + T₅₃.

It is a d-powerful number, because it can be written as 2⁵ + 4² + 4⁴ + 6⁵ + 4⁷ .

It is not an unprimeable number, because it can be changed into a prime (24469) by changing a digit.

24464 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 107 + ... + 245.

It is an arithmetic number, because the mean of its divisors is an integer number (2604).

2²⁴⁴⁶⁴ 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 24464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26040).

24464 is an abundant number, since it is smaller than the sum of its proper divisors (27616).

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

24464 is a wasteful number, since it uses less digits than its factorization.

24464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 152 counting only the distinct ones).

The product of its digits is 768, while the sum is 20.

The square root of 24464 is about 156.4097183681. The cubic root of 24464 is about 29.0296960968.

The spelling of 24464 in words is "twenty-four thousand, four hundred sixty-four".