248443920 has 120 divisors (see below), whose sum is σ = 861349632. Its totient is φ = 64108800.

The previous prime is 248443903. The next prime is 248443963. The reversal of 248443920 is 29344842.

248443920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 16755 + ... + 27885.

Almost surely, 2^248443920 is an apocalyptic number.

248443920 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 248443920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430674816).

248443920 is an abundant number, since it is smaller than the sum of its proper divisors (612905712).

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

248443920 is a wasteful number, since it uses less digits than its factorization.

248443920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11181 (or 11172 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 248443920 is about 15762.1039204797. The cubic root of 248443920 is about 628.6507784517.

The spelling of 248443920 in words is "two hundred forty-eight million, four hundred forty-three thousand, nine hundred twenty".