248399580 has 288 divisors, whose sum is σ = 876572928. Its totient is φ = 51916800.

The previous prime is 248399549. The next prime is 248399581. The reversal of 248399580 is 85993842.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248399581) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1896115 + ... + 1896245.

It is an arithmetic number, because the mean of its divisors is an integer number (3043656).

Almost surely, 2^248399580 is an apocalyptic number.

248399580 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 248399580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438286464).

248399580 is an abundant number, since it is smaller than the sum of its proper divisors (628173348).

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

248399580 is a wasteful number, since it uses less digits than its factorization.

248399580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 48.

The square root of 248399580 is about 15760.6973195985. The cubic root of 248399580 is about 628.6133776116.

The spelling of 248399580 in words is "two hundred forty-eight million, three hundred ninety-nine thousand, five hundred eighty".