49179200 has 84 divisors (see below), whose sum is σ = 138330432. Its totient is φ = 16857600.

The previous prime is 49179199. The next prime is 49179203. The reversal of 49179200 is 297194.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (49179203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9005 + ... + 13395.

Almost surely, 2^49179200 is an apocalyptic number.

49179200 is a gapful number since it is divisible by the number (40) 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 49179200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69165216).

49179200 is an abundant number, since it is smaller than the sum of its proper divisors (89151232).

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

49179200 is a wasteful number, since it uses less digits than its factorization.

49179200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4420 (or 4405 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 32.

The square root of 49179200 is about 7012.7883184936. The cubic root of 49179200 is about 366.3761150948.

The spelling of 49179200 in words is "forty-nine million, one hundred seventy-nine thousand, two hundred".