48768480 has 240 divisors, whose sum is σ = 177829344. Its totient is φ = 12579840.

The previous prime is 48768457. The next prime is 48768481. The reversal of 48768480 is 8486784.

It is a tau number, because it is divible by the number of its divisors (240).

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 (48768481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 686845 + ... + 686915.

Almost surely, 2^48768480 is an apocalyptic number.

48768480 is a gapful number since it is divisible by the number (40) 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 48768480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88914672).

48768480 is an abundant number, since it is smaller than the sum of its proper divisors (129060864).

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

48768480 is a wasteful number, since it uses less digits than its factorization.

48768480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The square root of 48768480 is about 6983.4432767797. The cubic root of 48768480 is about 365.3533327121.

The spelling of 48768480 in words is "forty-eight million, seven hundred sixty-eight thousand, four hundred eighty".