49809672 has 96 divisors (see below), whose sum is σ = 149722560. Its totient is φ = 14832000.

The previous prime is 49809671. The next prime is 49809673. The reversal of 49809672 is 27690894.

It is a happy number.

49809672 is a `hidden beast` number, since 498 + 0 + 96 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (49809671) and next prime (49809673).

It is not an unprimeable number, because it can be changed into a prime (49809671) 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, 47797 + ... + 48827.

It is an arithmetic number, because the mean of its divisors is an integer number (1559610).

Almost surely, 2^49809672 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 49809672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74861280).

49809672 is an abundant number, since it is smaller than the sum of its proper divisors (99912888).

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

49809672 is a wasteful number, since it uses less digits than its factorization.

49809672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1115 (or 1108 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 49809672 is about 7057.5967581040. The cubic root of 49809672 is about 367.9351059169.

The spelling of 49809672 in words is "forty-nine million, eight hundred nine thousand, six hundred seventy-two".