248945284 has 63 divisors (see below), whose sum is σ = 531321847. Its totient is φ = 102052104.

The previous prime is 248945231. The next prime is 248945311. The reversal of 248945284 is 482549842.

The square root of 248945284 is 15778.

It is a perfect power (a square), and thus also a powerful number.

248945284 is digitally balanced in base 2 and base 3, because in such bases 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 (46).

Its product of digits (737280) is a multiple of the sum of its prime divisors (32).

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 10823697 + ... + 10823719.

Almost surely, 2^248945284 is an apocalyptic number.

248945284 is the 15778-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 248945284

248945284 is an abundant number, since it is smaller than the sum of its proper divisors (282376563).

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

248945284 is an frugal number, since it uses more digits than its factorization.

248945284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 32 counting only the distinct ones).

The product of its digits is 737280, while the sum is 46.

The cubic root of 248945284 is about 629.0733702536.

Multiplying 248945284 by its sum of digits (46), we get a cube (11451483064 = 2254³).

The spelling of 248945284 in words is "two hundred forty-eight million, nine hundred forty-five thousand, two hundred eighty-four".