48480464 has 40 divisors (see below), whose sum is σ = 100259208. Its totient is φ = 22630400.

The previous prime is 48480451. The next prime is 48480469. The reversal of 48480464 is 46408484.

It can be written as a sum of positive squares in 4 ways, for example, as 2131600 + 46348864 = 1460^2 + 6808^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48480469) 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, 36614 + ... + 37914.

Almost surely, 2^48480464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48480464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50129604).

48480464 is an abundant number, since it is smaller than the sum of its proper divisors (51778744).

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

48480464 is a wasteful number, since it uses less digits than its factorization.

48480464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1463 (or 1457 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 38.

The square root of 48480464 is about 6962.7913942614. The cubic root of 48480464 is about 364.6326798215.

The spelling of 48480464 in words is "forty-eight million, four hundred eighty thousand, four hundred sixty-four".