248822880 has 96 divisors (see below), whose sum is σ = 829924704. Its totient is φ = 62447616.

The previous prime is 248822869. The next prime is 248822941. The reversal of 248822880 is 88228842.

248822880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×248822880² = 123825651222988800, which contains 22 as substring.

It is a congruent number.

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, 7087 + ... + 23406.

It is an arithmetic number, because the mean of its divisors is an integer number (8645049).

Almost surely, 2^248822880 is an apocalyptic number.

248822880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

248822880 is an abundant number, since it is smaller than the sum of its proper divisors (581101824).

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

248822880 is a wasteful number, since it uses less digits than its factorization.

248822880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30528 (or 30520 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 42.

The square root of 248822880 is about 15774.1205777058. The cubic root of 248822880 is about 628.9702502436.

The spelling of 248822880 in words is "two hundred forty-eight million, eight hundred twenty-two thousand, eight hundred eighty".