247504 has 20 divisors (see below), whose sum is σ = 496000. Its totient is φ = 119520.

The previous prime is 247501. The next prime is 247519. The reversal of 247504 is 405742.

247504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

247504 is an admirable number.

It is a super-2 number, since 2×247504² = 122516460032, which contains 22 as substring.

It is a nialpdrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (247501) 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, 247 + ... + 745.

It is an arithmetic number, because the mean of its divisors is an integer number (24800).

2²⁴⁷⁵⁰⁴ 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 247504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248000).

247504 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

247504 is a wasteful number, since it uses less digits than its factorization.

247504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 22.

The square root of 247504 is about 497.4977386883. The cubic root of 247504 is about 62.7857000180.

The spelling of 247504 in words is "two hundred forty-seven thousand, five hundred four".