248299920 has 240 divisors, whose sum is σ = 921316032. Its totient is φ = 59427840.

The previous prime is 248299913. The next prime is 248299957. The reversal of 248299920 is 29992842.

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

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, 847294 + ... + 847586.

Almost surely, 2^248299920 is an apocalyptic number.

248299920 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 248299920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460658016).

248299920 is an abundant number, since it is smaller than the sum of its proper divisors (673016112).

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

248299920 is a wasteful number, since it uses less digits than its factorization.

248299920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 248299920 is about 15757.5353402745. The cubic root of 248299920 is about 628.5292980420.

The spelling of 248299920 in words is "two hundred forty-eight million, two hundred ninety-nine thousand, nine hundred twenty".