248839920 has 240 divisors, whose sum is σ = 966813120. Its totient is φ = 56180736.

The previous prime is 248839909. The next prime is 248839933. The reversal of 248839920 is 29938842.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×248839920³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 488626 + ... + 489134.

It is an arithmetic number, because the mean of its divisors is an integer number (4028388).

Almost surely, 2^248839920 is an apocalyptic number.

248839920 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 248839920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483406560).

248839920 is an abundant number, since it is smaller than the sum of its proper divisors (717973200).

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

248839920 is a wasteful number, since it uses less digits than its factorization.

248839920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 632 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 248839920 is about 15774.6606936568. The cubic root of 248839920 is about 628.9846077234.

The spelling of 248839920 in words is "two hundred forty-eight million, eight hundred thirty-nine thousand, nine hundred twenty".