48672480 has 96 divisors (see below), whose sum is σ = 158312448. Its totient is φ = 12556800.

The previous prime is 48672473. The next prime is 48672493. The reversal of 48672480 is 8427684.

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

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, 13245 + ... + 16515.

It is an arithmetic number, because the mean of its divisors is an integer number (1649088).

Almost surely, 2^48672480 is an apocalyptic number.

48672480 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 48672480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79156224).

48672480 is an abundant number, since it is smaller than the sum of its proper divisors (109639968).

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

48672480 is a wasteful number, since it uses less digits than its factorization.

With its successor (48672481) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (3312).

48672480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3320 (or 3312 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 39.

The square root of 48672480 is about 6976.5664907603. The cubic root of 48672480 is about 365.1134444393.

The spelling of 48672480 in words is "forty-eight million, six hundred seventy-two thousand, four hundred eighty".