248675490 has 288 divisors, whose sum is σ = 829730304. Its totient is φ = 51287040.

The previous prime is 248675461. The next prime is 248675491. The reversal of 248675490 is 94576842.

248675490 = 298² + 299² + ... + 917².

It is a happy number.

248675490 is a `hidden beast` number, since 2 + 48 + 67 + 549 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248675491) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2324017 + ... + 2324123.

It is an arithmetic number, because the mean of its divisors is an integer number (2881008).

Almost surely, 2^248675490 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 248675490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414865152).

248675490 is an abundant number, since it is smaller than the sum of its proper divisors (581054814).

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

248675490 is a wasteful number, since it uses less digits than its factorization.

248675490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 248675490 is about 15769.4479928753. The cubic root of 248675490 is about 628.8460357347.

The spelling of 248675490 in words is "two hundred forty-eight million, six hundred seventy-five thousand, four hundred ninety".