49818000 has 240 divisors, whose sum is σ = 176881536. Its totient is φ = 12038400.

The previous prime is 49817987. The next prime is 49818049. The reversal of 49818000 is 81894.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2165989 + ... + 2166011.

Almost surely, 2^49818000 is an apocalyptic number.

49818000 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 49818000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88440768).

49818000 is an abundant number, since it is smaller than the sum of its proper divisors (127063536).

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

49818000 is a wasteful number, since it uses less digits than its factorization.

49818000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 49818000 is about 7058.1867359825. The cubic root of 49818000 is about 367.9556105878.

Adding to 49818000 its reverse (81894), we get a palindrome (49899894).

The spelling of 49818000 in words is "forty-nine million, eight hundred eighteen thousand".