248361984 has 176 divisors, whose sum is σ = 793253440. Its totient is φ = 76308480.

The previous prime is 248361961. The next prime is 248362031. The reversal of 248361984 is 489163842.

It is a happy number.

248361984 is a `hidden beast` number, since 24 + 8 + 3 + 619 + 8 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 359079 + ... + 359769.

Almost surely, 2^248361984 is an apocalyptic number.

248361984 is a gapful number since it is divisible by the number (24) 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 248361984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396626720).

248361984 is an abundant number, since it is smaller than the sum of its proper divisors (544891456).

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

248361984 is a wasteful number, since it uses less digits than its factorization.

248361984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 733 (or 709 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 248361984 is about 15759.5045607405. The cubic root of 248361984 is about 628.5816618562.

The spelling of 248361984 in words is "two hundred forty-eight million, three hundred sixty-one thousand, nine hundred eighty-four".