248832000 has 336 divisors, whose sum is σ = 930292272. Its totient is φ = 66355200.

The previous prime is 248831987. The next prime is 248832041. The reversal of 248832000 is 238842.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Jordan-Polya number, since it can be written as (6!)² ⋅ 5! ⋅ (2!)².

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49766398 + ... + 49766402.

It is an arithmetic number, because the mean of its divisors is an integer number (2768727).

Almost surely, 2^248832000 is an apocalyptic number.

248832000 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 248832000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465146136).

248832000 is an abundant number, since it is smaller than the sum of its proper divisors (681460272).

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

248832000 is an frugal number, since it uses more digits than its factorization.

248832000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 248832000 is about 15774.4096561488. The cubic root of 248832000 is about 628.9779346101.

The spelling of 248832000 in words is "two hundred forty-eight million, eight hundred thirty-two thousand".