49978000 has 40 divisors (see below), whose sum is σ = 120851640. Its totient is φ = 19990400.

The previous prime is 49977959. The next prime is 49978001. The reversal of 49978000 is 87994.

It is a happy number.

49978000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1089936 + 48888064 = 1044^2 + 6992^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (49978001) 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 7 ways as a sum of consecutive naturals, for example, 10495 + ... + 14494.

It is an arithmetic number, because the mean of its divisors is an integer number (3021291).

Almost surely, 2^49978000 is an apocalyptic number.

49978000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

49978000 is an abundant number, since it is smaller than the sum of its proper divisors (70873640).

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

49978000 is a wasteful number, since it uses less digits than its factorization.

49978000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25012 (or 24996 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 37.

The square root of 49978000 is about 7069.5120057894. The cubic root of 49978000 is about 368.3491094754.

The spelling of 49978000 in words is "forty-nine million, nine hundred seventy-eight thousand".