248613456 has 240 divisors, whose sum is σ = 826447104. Its totient is φ = 63802368.

The previous prime is 248613439. The next prime is 248613473. The reversal of 248613456 is 654316842.

It is an interprime number because it is at equal distance from previous prime (248613439) and next prime (248613473).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1436986 + ... + 1437158.

Almost surely, 2^248613456 is an apocalyptic number.

248613456 is a gapful number since it is divisible by the number (26) 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 248613456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413223552).

248613456 is an abundant number, since it is smaller than the sum of its proper divisors (577833648).

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

248613456 is a wasteful number, since it uses less digits than its factorization.

248613456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 245 counting only the distinct ones).

The product of its digits is 138240, while the sum is 39.

The square root of 248613456 is about 15767.4809655823. The cubic root of 248613456 is about 628.7937412374.

The spelling of 248613456 in words is "two hundred forty-eight million, six hundred thirteen thousand, four hundred fifty-six".