49854000 has 160 divisors (see below), whose sum is σ = 183845376. Its totient is φ = 11385600.

The previous prime is 49853989. The next prime is 49854001. The reversal of 49854000 is 45894.

49854000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (49854001) 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 31 ways as a sum of consecutive naturals, for example, 41407 + ... + 42593.

Almost surely, 2^49854000 is an apocalyptic number.

49854000 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 49854000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91922688).

49854000 is an abundant number, since it is smaller than the sum of its proper divisors (133991376).

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

49854000 is a wasteful number, since it uses less digits than its factorization.

49854000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1220 (or 1204 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 49854000 is about 7060.7365054929. The cubic root of 49854000 is about 368.0442212139.

Adding to 49854000 its reverse (45894), we get a palindrome (49899894).

The spelling of 49854000 in words is "forty-nine million, eight hundred fifty-four thousand".