248359104 has 168 divisors, whose sum is σ = 840240128. Its totient is φ = 68636160.

The previous prime is 248359087. The next prime is 248359109. The reversal of 248359104 is 401953842.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (248359109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 123999 + ... + 125985.

Almost surely, 2^248359104 is an apocalyptic number.

248359104 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 248359104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420120064).

248359104 is an abundant number, since it is smaller than the sum of its proper divisors (591881024).

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

248359104 is a wasteful number, since it uses less digits than its factorization.

248359104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2043 (or 2030 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 248359104 is about 15759.4131870448. The cubic root of 248359104 is about 628.5792321739.

The spelling of 248359104 in words is "two hundred forty-eight million, three hundred fifty-nine thousand, one hundred four".