48432480 has 192 divisors, whose sum is σ = 164602368. Its totient is φ = 11939840.

The previous prime is 48432467. The next prime is 48432481. The reversal of 48432480 is 8423484.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48432481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 452587 + ... + 452693.

It is an arithmetic number, because the mean of its divisors is an integer number (857304).

Almost surely, 2^48432480 is an apocalyptic number.

48432480 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 48432480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82301184).

48432480 is an abundant number, since it is smaller than the sum of its proper divisors (116169888).

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

48432480 is a wasteful number, since it uses less digits than its factorization.

48432480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 33.

The square root of 48432480 is about 6959.3447967463. The cubic root of 48432480 is about 364.5123405570.

The spelling of 48432480 in words is "forty-eight million, four hundred thirty-two thousand, four hundred eighty".