248480064 has 84 divisors (see below), whose sum is σ = 813982624. Its totient is φ = 70993152.

The previous prime is 248480053. The next prime is 248480069. The reversal of 248480064 is 460084842.

It is a tau number, because it is divible by the number of its divisors (84).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248480069) 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, 26782 + ... + 34845.

Almost surely, 2^248480064 is an apocalyptic number.

248480064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

248480064 is an abundant number, since it is smaller than the sum of its proper divisors (565502560).

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

248480064 is a wasteful number, since it uses less digits than its factorization.

248480064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61652 (or 61639 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 248480064 is about 15763.2504262287. The cubic root of 248480064 is about 628.6812626644.

The spelling of 248480064 in words is "two hundred forty-eight million, four hundred eighty thousand, sixty-four".