248017920 has 176 divisors, whose sum is σ = 808450368. Its totient is φ = 64880640.

The previous prime is 248017909. The next prime is 248017943. The reversal of 248017920 is 29710842.

It is a happy number.

It is a super-2 number, since 2×248017920² = 123025777282252800, which contains 22 as substring.

It is a nialpdrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1029000 + ... + 1029240.

It is an arithmetic number, because the mean of its divisors is an integer number (4593468).

Almost surely, 2^248017920 is an apocalyptic number.

248017920 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 248017920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404225184).

248017920 is an abundant number, since it is smaller than the sum of its proper divisors (560432448).

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

248017920 is a wasteful number, since it uses less digits than its factorization.

248017920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 248017920 is about 15748.5846983150. The cubic root of 248017920 is about 628.2912627862.

Subtracting from 248017920 its product of nonzero digits (8064), we obtain a triangular number (248009856 = T₂₂₂₇₁).

The spelling of 248017920 in words is "two hundred forty-eight million, seventeen thousand, nine hundred twenty".