48596832 has 144 divisors (see below), whose sum is σ = 148599360. Its totient is φ = 15019776.

The previous prime is 48596831. The next prime is 48596879. The reversal of 48596832 is 23869584.

48596832 is a `hidden beast` number, since 485 + 96 + 83 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48596831) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 454123 + ... + 454229.

It is an arithmetic number, because the mean of its divisors is an integer number (1031940).

Almost surely, 2^48596832 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 48596832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74299680).

48596832 is an abundant number, since it is smaller than the sum of its proper divisors (100002528).

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

48596832 is a wasteful number, since it uses less digits than its factorization.

48596832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 214 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 48596832 is about 6971.1428044475. The cubic root of 48596832 is about 364.9241901728.

The spelling of 48596832 in words is "forty-eight million, five hundred ninety-six thousand, eight hundred thirty-two".