248414500 has 48 divisors (see below), whose sum is σ = 544078080. Its totient is φ = 99084000.

The previous prime is 248414497. The next prime is 248414519. The reversal of 248414500 is 5414842.

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, 345141 + ... + 345859.

It is an arithmetic number, because the mean of its divisors is an integer number (11334960).

Almost surely, 2^248414500 is an apocalyptic number.

248414500 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 248414500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272039040).

248414500 is an abundant number, since it is smaller than the sum of its proper divisors (295663580).

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

248414500 is a wasteful number, since it uses less digits than its factorization.

248414500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1429 (or 1417 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 28.

The square root of 248414500 is about 15761.1706418020. The cubic root of 248414500 is about 628.6259631453.

The spelling of 248414500 in words is "two hundred forty-eight million, four hundred fourteen thousand, five hundred".