48460464 has 80 divisors (see below), whose sum is σ = 149816800. Its totient is φ = 14909184.

The previous prime is 48460459. The next prime is 48460481. The reversal of 48460464 is 46406484.

48460464 is a `hidden beast` number, since 48 + 4 + 604 + 6 + 4 = 666.

48460464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1302 + ... + 9930.

It is an arithmetic number, because the mean of its divisors is an integer number (1872710).

Almost surely, 2^48460464 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 48460464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74908400).

48460464 is an abundant number, since it is smaller than the sum of its proper divisors (101356336).

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

48460464 is a wasteful number, since it uses less digits than its factorization.

48460464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8659 (or 8647 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 48460464 is about 6961.3550405076. The cubic root of 48460464 is about 364.5825313971.

The spelling of 48460464 in words is "forty-eight million, four hundred sixty thousand, four hundred sixty-four".