49548672 has 144 divisors (see below), whose sum is σ = 150567300. Its totient is φ = 16236288.

The previous prime is 49548671. The next prime is 49548679. The reversal of 49548672 is 27684594.

It is a happy number.

49548672 is a `hidden beast` number, since 49 + 548 + 67 + 2 = 666.

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

Its product of digits (483840) is a multiple of the sum of its prime divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49548671) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 839779 + ... + 839837.

Almost surely, 2^49548672 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 49548672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75283650).

49548672 is an abundant number, since it is smaller than the sum of its proper divisors (101018628).

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

49548672 is an frugal number, since it uses more digits than its factorization.

49548672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 64 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 49548672 is about 7039.0817582977. The cubic root of 49548672 is about 367.2913267651.

The spelling of 49548672 in words is "forty-nine million, five hundred forty-eight thousand, six hundred seventy-two".