248786400 has 144 divisors (see below), whose sum is σ = 845195904. Its totient is φ = 63444480.

The previous prime is 248786359. The next prime is 248786429. The reversal of 248786400 is 4687842.

248786400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 52947 + ... + 57453.

It is an arithmetic number, because the mean of its divisors is an integer number (5869416).

Almost surely, 2^248786400 is an apocalyptic number.

248786400 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 248786400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422597952).

248786400 is an abundant number, since it is smaller than the sum of its proper divisors (596409504).

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

248786400 is a wasteful number, since it uses less digits than its factorization.

248786400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4553 (or 4540 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 39.

The square root of 248786400 is about 15772.9642109529. The cubic root of 248786400 is about 628.9395108999.

The spelling of 248786400 in words is "two hundred forty-eight million, seven hundred eighty-six thousand, four hundred".