248776704 has 192 divisors, whose sum is σ = 805896000. Its totient is φ = 75202560.

The previous prime is 248776699. The next prime is 248776711. The reversal of 248776704 is 407677842.

It is a tau number, because it is divible by the number of its divisors (192).

It is a self number, because there is not a number n which added to its sum of digits gives 248776704.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 608052 + ... + 608460.

It is an arithmetic number, because the mean of its divisors is an integer number (4197375).

Almost surely, 2^248776704 is an apocalyptic number.

248776704 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 248776704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402948000).

248776704 is an abundant number, since it is smaller than the sum of its proper divisors (557119296).

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

248776704 is a wasteful number, since it uses less digits than its factorization.

248776704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 526848, while the sum is 45.

The square root of 248776704 is about 15772.6568465810. The cubic root of 248776704 is about 628.9313402004.

The spelling of 248776704 in words is "two hundred forty-eight million, seven hundred seventy-six thousand, seven hundred four".