248152800 has 144 divisors (see below), whose sum is σ = 923190912. Its totient is φ = 56716800.

The previous prime is 248152789. The next prime is 248152811. The reversal of 248152800 is 8251842.

It is an interprime number because it is at equal distance from previous prime (248152789) and next prime (248152811).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 9415 + ... + 24185.

It is an arithmetic number, because the mean of its divisors is an integer number (6411048).

Almost surely, 2^248152800 is an apocalyptic number.

248152800 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 248152800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461595456).

248152800 is an abundant number, since it is smaller than the sum of its proper divisors (675038112).

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

248152800 is a wasteful number, since it uses less digits than its factorization.

248152800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14801 (or 14788 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

The square root of 248152800 is about 15752.8664058323. The cubic root of 248152800 is about 628.4051370418.

The spelling of 248152800 in words is "two hundred forty-eight million, one hundred fifty-two thousand, eight hundred".