248956416 has 280 divisors, whose sum is σ = 805060080. Its totient is φ = 76640256.

The previous prime is 248956403. The next prime is 248956429. The reversal of 248956416 is 614659842.

248956416 is a `hidden beast` number, since 2 + 4 + 89 + 564 + 1 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (248956403) and next prime (248956429).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 8584690 + ... + 8584718.

Almost surely, 2^248956416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 248956416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402530040).

248956416 is an abundant number, since it is smaller than the sum of its proper divisors (556103664).

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

248956416 is an frugal number, since it uses more digits than its factorization.

248956416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 57 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 248956416 is about 15778.3527657357. The cubic root of 248956416 is about 629.0827467991.

The spelling of 248956416 in words is "two hundred forty-eight million, nine hundred fifty-six thousand, four hundred sixteen".