248436864 has 192 divisors, whose sum is σ = 786927960. Its totient is φ = 74760192.

The previous prime is 248436863. The next prime is 248436889. The reversal of 248436864 is 468634842.

It can be written as a sum of positive squares in 4 ways, for example, as 114062400 + 134374464 = 10680^2 + 11592^2 .

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

It is a nude number because it is divisible by every one of its digits.

Its product of digits (884736) is a multiple of the sum of its prime divisors (384).

It is not an unprimeable number, because it can be changed into a prime (248436863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 793572 + ... + 793884.

Almost surely, 2^248436864 is an apocalyptic number.

248436864 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 248436864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393463980).

248436864 is an abundant number, since it is smaller than the sum of its proper divisors (538491096).

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

248436864 is a wasteful number, since it uses less digits than its factorization.

248436864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399 (or 384 counting only the distinct ones).

The product of its digits is 884736, while the sum is 45.

The square root of 248436864 is about 15761.8800909029. The cubic root of 248436864 is about 628.6448270055.

The spelling of 248436864 in words is "two hundred forty-eight million, four hundred thirty-six thousand, eight hundred sixty-four".