248601456 has 120 divisors (see below), whose sum is σ = 732654000. Its totient is φ = 78575616.

The previous prime is 248601449. The next prime is 248601467. The reversal of 248601456 is 654106842.

248601456 is a `hidden beast` number, since 2 + 4 + 8 + 601 + 45 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 248601456.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 245880 + ... + 246888.

It is an arithmetic number, because the mean of its divisors is an integer number (6105450).

Almost surely, 2^248601456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 248601456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366327000).

248601456 is an abundant number, since it is smaller than the sum of its proper divisors (484052544).

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

248601456 is a wasteful number, since it uses less digits than its factorization.

248601456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1111 (or 1102 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 248601456 is about 15767.1004309607. The cubic root of 248601456 is about 628.7836242652.

The spelling of 248601456 in words is "two hundred forty-eight million, six hundred one thousand, four hundred fifty-six".