248964480 has 96 divisors (see below), whose sum is σ = 859725360. Its totient is φ = 66388992.

The previous prime is 248964427. The next prime is 248964481. The reversal of 248964480 is 84469842.

248964480 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 Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248964481) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15852 + ... + 27371.

Almost surely, 2^248964480 is an apocalyptic number.

248964480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

248964480 is an abundant number, since it is smaller than the sum of its proper divisors (610760880).

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

248964480 is a wasteful number, since it uses less digits than its factorization.

248964480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43248 (or 43233 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 248964480 is about 15778.6083036496. The cubic root of 248964480 is about 629.0895389766.

The spelling of 248964480 in words is "two hundred forty-eight million, nine hundred sixty-four thousand, four hundred eighty".