248162040 has 384 divisors, whose sum is σ = 997401600. Its totient is φ = 52254720.

The previous prime is 248162029. The next prime is 248162069. The reversal of 248162040 is 40261842.

It is a junction number, because it is equal to n+sod(n) for n = 248161995 and 248162013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3399444 + ... + 3399516.

It is an arithmetic number, because the mean of its divisors is an integer number (2597400).

Almost surely, 2^248162040 is an apocalyptic number.

248162040 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 248162040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498700800).

248162040 is an abundant number, since it is smaller than the sum of its proper divisors (749239560).

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

248162040 is a wasteful number, since it uses less digits than its factorization.

248162040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 248162040 is about 15753.1596830604. The cubic root of 248162040 is about 628.4129365258.

The spelling of 248162040 in words is "two hundred forty-eight million, one hundred sixty-two thousand, forty".