49178400 has 144 divisors (see below), whose sum is σ = 165489408. Its totient is φ = 12672000.

The previous prime is 49178387. The next prime is 49178401. The reversal of 49178400 is 487194.

49178400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (49178401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74070 + ... + 74730.

It is an arithmetic number, because the mean of its divisors is an integer number (1149232).

Almost surely, 2^49178400 is an apocalyptic number.

49178400 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 49178400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82744704).

49178400 is an abundant number, since it is smaller than the sum of its proper divisors (116311008).

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

49178400 is a wasteful number, since it uses less digits than its factorization.

49178400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 715 (or 702 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 49178400 is about 7012.7312796085. The cubic root of 49178400 is about 366.3741284657.

The spelling of 49178400 in words is "forty-nine million, one hundred seventy-eight thousand, four hundred".