248400 has 120 divisors (see below), whose sum is σ = 922560. Its totient is φ = 63360.

The previous prime is 248389. The next prime is 248401. The reversal of 248400 is 4842.

248400 = 26³ + 27³ + ... + 34³.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10789 + ... + 10811.

It is an arithmetic number, because the mean of its divisors is an integer number (7688).

2²⁴⁸⁴⁰⁰ is an apocalyptic number.

248400 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 248400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461280).

248400 is an abundant number, since it is smaller than the sum of its proper divisors (674160).

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

248400 is a wasteful number, since it uses less digits than its factorization.

248400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 248400 is about 498.3974317751. The cubic root of 248400 is about 62.8613731903.

The spelling of 248400 in words is "two hundred forty-eight thousand, four hundred".