48736464 has 80 divisors (see below), whose sum is σ = 148561920. Its totient is φ = 13472640.

The previous prime is 48736453. The next prime is 48736481. The reversal of 48736464 is 46463784.

48736464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 8077 + ... + 12755.

It is an arithmetic number, because the mean of its divisors is an integer number (1857024).

Almost surely, 2^48736464 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 48736464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74280960).

48736464 is an abundant number, since it is smaller than the sum of its proper divisors (99825456).

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

48736464 is a wasteful number, since it uses less digits than its factorization.

48736464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4728 (or 4722 counting only the distinct ones).

The product of its digits is 387072, while the sum is 42.

The square root of 48736464 is about 6981.1506214950. The cubic root of 48736464 is about 365.2733649889.

The spelling of 48736464 in words is "forty-eight million, seven hundred thirty-six thousand, four hundred sixty-four".