248834520 has 192 divisors, whose sum is σ = 911139840. Its totient is φ = 58348800.

The previous prime is 248834519. The next prime is 248834533. The reversal of 248834520 is 25438842.

248834520 is a `hidden beast` number, since 24 + 88 + 34 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 121747 + ... + 123773.

It is an arithmetic number, because the mean of its divisors is an integer number (4745520).

Almost surely, 2^248834520 is an apocalyptic number.

248834520 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 248834520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455569920).

248834520 is an abundant number, since it is smaller than the sum of its proper divisors (662305320).

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

248834520 is a wasteful number, since it uses less digits than its factorization.

248834520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2086 (or 2079 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 248834520 is about 15774.4895321529. The cubic root of 248834520 is about 628.9800578888.

It can be divided in two parts, 24883 and 4520, that added together give a triangular number (29403 = T₂₄₂).

The spelling of 248834520 in words is "two hundred forty-eight million, eight hundred thirty-four thousand, five hundred twenty".