248146506 has 48 divisors (see below), whose sum is σ = 556807680. Its totient is φ = 79786080.

The previous prime is 248146487. The next prime is 248146523. The reversal of 248146506 is 605641842.

248146506 is a `hidden beast` number, since 2 + 4 + 8 + 146 + 506 = 666.

248146506 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 244456 + ... + 245468.

It is an arithmetic number, because the mean of its divisors is an integer number (11600160).

Almost surely, 2^248146506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 248146506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278403840).

248146506 is an abundant number, since it is smaller than the sum of its proper divisors (308661174).

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

248146506 is a wasteful number, since it uses less digits than its factorization.

248146506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1491 (or 1488 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 248146506 is about 15752.6666313993. Note that the first 4 decimals coincide. The cubic root of 248146506 is about 628.3998241655.

The spelling of 248146506 in words is "two hundred forty-eight million, one hundred forty-six thousand, five hundred six".