248871690 has 160 divisors (see below), whose sum is σ = 715777920. Its totient is φ = 61865856.

The previous prime is 248871647. The next prime is 248871691. The reversal of 248871690 is 96178842.

248871690 is a `hidden beast` number, since 2 + 488 + 7 + 169 + 0 = 666.

It is a super-2 number, since 2×248871690² = 123874236166912200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248871691) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1585092 + ... + 1585248.

It is an arithmetic number, because the mean of its divisors is an integer number (4473612).

Almost surely, 2^248871690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 248871690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357888960).

248871690 is an abundant number, since it is smaller than the sum of its proper divisors (466906230).

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

248871690 is a wasteful number, since it uses less digits than its factorization.

248871690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 248871690 is about 15775.6676562357. The cubic root of 248871690 is about 629.0113745844.

The spelling of 248871690 in words is "two hundred forty-eight million, eight hundred seventy-one thousand, six hundred ninety".