248416000 has 144 divisors (see below), whose sum is σ = 707878080. Its totient is φ = 85094400.

The previous prime is 248415991. The next prime is 248416027. The reversal of 248416000 is 614842.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 223446 + ... + 224554.

It is an arithmetic number, because the mean of its divisors is an integer number (4915820).

Almost surely, 2^248416000 is an apocalyptic number.

248416000 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 248416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353939040).

248416000 is an abundant number, since it is smaller than the sum of its proper divisors (459462080).

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

248416000 is an equidigital number, since it uses as much as digits as its factorization.

248416000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1147 (or 1123 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 248416000 is about 15761.2182270280. The cubic root of 248416000 is about 628.6272284191.

The spelling of 248416000 in words is "two hundred forty-eight million, four hundred sixteen thousand".