248145480 has 192 divisors, whose sum is σ = 886878720. Its totient is φ = 59673600.

The previous prime is 248145479. The next prime is 248145503. The reversal of 248145480 is 84541842.

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

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 882940 + ... + 883220.

It is an arithmetic number, because the mean of its divisors is an integer number (4619160).

Almost surely, 2^248145480 is an apocalyptic number.

248145480 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 248145480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443439360).

248145480 is an abundant number, since it is smaller than the sum of its proper divisors (638733240).

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

248145480 is a wasteful number, since it uses less digits than its factorization.

248145480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The square root of 248145480 is about 15752.6340654508. The cubic root of 248145480 is about 628.3989580923.

It can be divided in two parts, 2481 and 45480, that added together give a square (47961 = 219²).

The spelling of 248145480 in words is "two hundred forty-eight million, one hundred forty-five thousand, four hundred eighty".