248458056 has 128 divisors (see below), whose sum is σ = 799580160. Its totient is φ = 62438400.

The previous prime is 248458013. The next prime is 248458057. The reversal of 248458056 is 650854842.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 248457999 and 248458017.

It is not an unprimeable number, because it can be changed into a prime (248458057) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55120 + ... + 59456.

It is an arithmetic number, because the mean of its divisors is an integer number (6246720).

Almost surely, 2^248458056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 248458056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399790080).

248458056 is an abundant number, since it is smaller than the sum of its proper divisors (551122104).

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

248458056 is a wasteful number, since it uses less digits than its factorization.

248458056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4395 (or 4391 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 42.

The square root of 248458056 is about 15762.5523313961. The cubic root of 248458056 is about 628.6627012481.

The spelling of 248458056 in words is "two hundred forty-eight million, four hundred fifty-eight thousand, fifty-six".