248938920 has 112 divisors (see below), whose sum is σ = 839883060. Its totient is φ = 66375936.

The previous prime is 248938903. The next prime is 248938951. The reversal of 248938920 is 29839842.

248938920 is a `hidden beast` number, since 248 + 9 + 389 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 243547236 + 5391684 = 15606^2 + 2322^2 .

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

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 27 ways as a sum of consecutive naturals, for example, 24892 + ... + 33428.

Almost surely, 2^248938920 is an apocalyptic number.

248938920 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 248938920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419941530).

248938920 is an abundant number, since it is smaller than the sum of its proper divisors (590944140).

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

248938920 is an equidigital number, since it uses as much as digits as its factorization.

248938920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8566 (or 8547 counting only the distinct ones).

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

The square root of 248938920 is about 15777.7983254952. The cubic root of 248938920 is about 629.0680096954.

The spelling of 248938920 in words is "two hundred forty-eight million, nine hundred thirty-eight thousand, nine hundred twenty".