248454864 has 280 divisors, whose sum is σ = 878247360. Its totient is φ = 66438144.

The previous prime is 248454859. The next prime is 248454893. The reversal of 248454864 is 468454842.

248454864 is a `hidden beast` number, since 2 + 48 + 4 + 548 + 64 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1387927 + ... + 1388105.

Almost surely, 2^248454864 is an apocalyptic number.

248454864 is a gapful number since it is divisible by the number (24) 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 248454864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439123680).

248454864 is an abundant number, since it is smaller than the sum of its proper divisors (629792496).

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

248454864 is a wasteful number, since it uses less digits than its factorization.

248454864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 208 counting only the distinct ones).

The product of its digits is 983040, while the sum is 45.

The square root of 248454864 is about 15762.4510784332. The cubic root of 248454864 is about 628.6600090433.

The spelling of 248454864 in words is "two hundred forty-eight million, four hundred fifty-four thousand, eight hundred sixty-four".