252480 has 56 divisors (see below), whose sum is σ = 804672. Its totient is φ = 67072.

The previous prime is 252463. The next prime is 252481. The reversal of 252480 is 84252.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is an Ulam number.

It is a nialpdrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (252481) by changing a digit.

252480 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 7 ways as a sum of consecutive naturals, for example, 829 + ... + 1091.

2²⁵²⁴⁸⁰ is an apocalyptic number.

252480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402336).

252480 is an abundant number, since it is smaller than the sum of its proper divisors (552192).

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

252480 is a wasteful number, since it uses less digits than its factorization.

252480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 252480 is about 502.4738799182. The cubic root of 252480 is about 63.2036744112.

The spelling of 252480 in words is "two hundred fifty-two thousand, four hundred eighty".