248349456 has 160 divisors (see below), whose sum is σ = 761856000. Its totient is φ = 77231232.

The previous prime is 248349449. The next prime is 248349473. The reversal of 248349456 is 654943842.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 648241 + ... + 648623.

It is an arithmetic number, because the mean of its divisors is an integer number (4761600).

Almost surely, 2^248349456 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 248349456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380928000).

248349456 is an abundant number, since it is smaller than the sum of its proper divisors (513506544).

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

248349456 is a wasteful number, since it uses less digits than its factorization.

248349456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498 (or 486 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The square root of 248349456 is about 15759.1070813038. The cubic root of 248349456 is about 628.5710926012.

The spelling of 248349456 in words is "two hundred forty-eight million, three hundred forty-nine thousand, four hundred fifty-six".