248442480 has 480 divisors, whose sum is σ = 1039933440. Its totient is φ = 52254720.

The previous prime is 248442473. The next prime is 248442503. The reversal of 248442480 is 84244842.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1956177 + ... + 1956303.

It is an arithmetic number, because the mean of its divisors is an integer number (2166528).

Almost surely, 2^248442480 is an apocalyptic number.

248442480 is a gapful number since it is divisible by the number (20) 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 248442480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519966720).

248442480 is an abundant number, since it is smaller than the sum of its proper divisors (791490960).

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

248442480 is a wasteful number, since it uses less digits than its factorization.

248442480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 36.

The square root of 248442480 is about 15762.0582412323. The cubic root of 248442480 is about 628.6495638800.

The spelling of 248442480 in words is "two hundred forty-eight million, four hundred forty-two thousand, four hundred eighty".