248416 has 24 divisors (see below), whose sum is σ = 559440. Its totient is φ = 106368.

The previous prime is 248407. The next prime is 248431. The reversal of 248416 is 614842.

248416 = 28² + 29² + ... + 91².

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

248416 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 331 + ... + 778.

It is an arithmetic number, because the mean of its divisors is an integer number (23310).

2²⁴⁸⁴¹⁶ is an apocalyptic number.

It is an amenable number.

248416 is an abundant number, since it is smaller than the sum of its proper divisors (311024).

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

248416 is a wasteful number, since it uses less digits than its factorization.

248416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1126 (or 1118 counting only the distinct ones).

The product of its digits is 1536, while the sum is 25.

The square root of 248416 is about 498.4134829637. The cubic root of 248416 is about 62.8627228419.

It can be divided in two parts, 2484 and 16, that added together give a square (2500 = 50²).

The spelling of 248416 in words is "two hundred forty-eight thousand, four hundred sixteen".