391248 has 120 divisors (see below), whose sum is σ = 1354080. Its totient is φ = 103680.

The previous prime is 391247. The next prime is 391249. The reversal of 391248 is 842193.

It is an interprime number because it is at equal distance from previous prime (391247) and next prime (391249).

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

It is one of the 548 Lynch-Bell numbers.

Its product of digits (1728) is a multiple of the sum of its prime divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (391247) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20583 + ... + 20601.

It is an arithmetic number, because the mean of its divisors is an integer number (11284).

2³⁹¹²⁴⁸ is an apocalyptic number.

391248 is a gapful number since it is divisible by the number (38) 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 391248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677040).

391248 is an abundant number, since it is smaller than the sum of its proper divisors (962832).

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

391248 is a wasteful number, since it uses less digits than its factorization.

391248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57 (or 48 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 391248 is about 625.4982014363. The cubic root of 391248 is about 73.1392849585.

The spelling of 391248 in words is "three hundred ninety-one thousand, two hundred forty-eight".