48008480 has 48 divisors (see below), whose sum is σ = 122149944. Its totient is φ = 17725440.

The previous prime is 48008461. The next prime is 48008483. The reversal of 48008480 is 8480084.

It can be written as a sum of positive squares in 4 ways, for example, as 29724304 + 18284176 = 5452^2 + 4276^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (48008483) 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 7 ways as a sum of consecutive naturals, for example, 9461 + ... + 13620.

Almost surely, 2^48008480 is an apocalyptic number.

48008480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48008480 is an abundant number, since it is smaller than the sum of its proper divisors (74141464).

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

48008480 is a wasteful number, since it uses less digits than its factorization.

48008480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23109 (or 23101 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 32.

The square root of 48008480 is about 6928.8151945336. The cubic root of 48008480 is about 363.4455189488.

The spelling of 48008480 in words is "forty-eight million, eight thousand, four hundred eighty".