49177968 has 160 divisors (see below), whose sum is σ = 154752000. Its totient is φ = 13434624.

The previous prime is 49177963. The next prime is 49177969. The reversal of 49177968 is 86977194.

Its product of digits (762048) is a multiple of the sum of its prime divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 49177968.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49177963) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 477405 + ... + 477507.

It is an arithmetic number, because the mean of its divisors is an integer number (967200).

Almost surely, 2^49177968 is an apocalyptic number.

49177968 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49177968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77376000).

49177968 is an abundant number, since it is smaller than the sum of its proper divisors (105574032).

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

49177968 is a wasteful number, since it uses less digits than its factorization.

49177968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 144 counting only the distinct ones).

The product of its digits is 762048, while the sum is 51.

The square root of 49177968 is about 7012.7004784177. The cubic root of 49177968 is about 366.3730556771.

The spelling of 49177968 in words is "forty-nine million, one hundred seventy-seven thousand, nine hundred sixty-eight".