248450580 has 216 divisors, whose sum is σ = 928804968. Its totient is φ = 53415936.

The previous prime is 248450557. The next prime is 248450581. The reversal of 248450580 is 85054842.

248450580 is a `hidden beast` number, since 24 + 8 + 4 + 50 + 580 = 666.

248450580 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 33593616 + 214856964 = 5796^2 + 14658^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248450581) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 149112 + ... + 150768.

It is an arithmetic number, because the mean of its divisors is an integer number (4300023).

Almost surely, 2^248450580 is an apocalyptic number.

248450580 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 248450580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464402484).

248450580 is an abundant number, since it is smaller than the sum of its proper divisors (680354388).

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

248450580 is a wasteful number, since it uses less digits than its factorization.

248450580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1703 (or 1691 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The square root of 248450580 is about 15762.3151852766. The cubic root of 248450580 is about 628.6563957848.

The spelling of 248450580 in words is "two hundred forty-eight million, four hundred fifty thousand, five hundred eighty".