248657640 has 256 divisors, whose sum is σ = 985374720. Its totient is φ = 48599040.

The previous prime is 248657639. The next prime is 248657659. The reversal of 248657640 is 46756842.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 248657592 and 248657601.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 156289 + ... + 157871.

It is an arithmetic number, because the mean of its divisors is an integer number (3849120).

Almost surely, 2^248657640 is an apocalyptic number.

248657640 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 248657640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492687360).

248657640 is an abundant number, since it is smaller than the sum of its proper divisors (736717080).

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

248657640 is a wasteful number, since it uses less digits than its factorization.

248657640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1632 (or 1628 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 42.

The square root of 248657640 is about 15768.8820149052. The cubic root of 248657640 is about 628.8309891234.

The spelling of 248657640 in words is "two hundred forty-eight million, six hundred fifty-seven thousand, six hundred forty".