248967460 has 96 divisors (see below), whose sum is σ = 616670208. Its totient is φ = 82667520.

The previous prime is 248967451. The next prime is 248967461. The reversal of 248967460 is 64769842.

It is a happy number.

It is a super-2 number, since 2×248967460² = 123969592277703200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 248967460.

It is not an unprimeable number, because it can be changed into a prime (248967461) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1032940 + ... + 1033180.

It is an arithmetic number, because the mean of its divisors is an integer number (6423648).

Almost surely, 2^248967460 is an apocalyptic number.

248967460 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 248967460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308335104).

248967460 is an abundant number, since it is smaller than the sum of its proper divisors (367702748).

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

248967460 is a wasteful number, since it uses less digits than its factorization.

248967460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 46.

The square root of 248967460 is about 15778.7027350160. The cubic root of 248967460 is about 629.0920489456.

The spelling of 248967460 in words is "two hundred forty-eight million, nine hundred sixty-seven thousand, four hundred sixty".