248934840 has 256 divisors, whose sum is σ = 964224000. Its totient is φ = 49889280.

The previous prime is 248934793. The next prime is 248934841. The reversal of 248934840 is 48439842.

248934840 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 = 248934792 and 248934801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248934841) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 267496 + ... + 268424.

It is an arithmetic number, because the mean of its divisors is an integer number (3766500).

Almost surely, 2^248934840 is an apocalyptic number.

248934840 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 248934840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482112000).

248934840 is an abundant number, since it is smaller than the sum of its proper divisors (715289160).

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

248934840 is a wasteful number, since it uses less digits than its factorization.

248934840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 990 (or 986 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The square root of 248934840 is about 15777.6690293592. The cubic root of 248934840 is about 629.0645729601.

The spelling of 248934840 in words is "two hundred forty-eight million, nine hundred thirty-four thousand, eight hundred forty".