49005000 has 300 divisors, whose sum is σ = 188529495. Its totient is φ = 11880000.

The previous prime is 49004953. The next prime is 49005001. The reversal of 49005000 is 50094.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

49005000 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 3 ways, for example, as 11329956 + 37675044 = 3366^2 + 6138^2 .

It is a tau number, because it is divible by the number of its divisors (300).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=4950.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (49005001) 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 74 ways as a sum of consecutive naturals, for example, 4454995 + ... + 4455005.

Almost surely, 2^49005000 is an apocalyptic number.

49005000 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 49005000

49005000 is an abundant number, since it is smaller than the sum of its proper divisors (139524495).

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

49005000 is a wasteful number, since it uses less digits than its factorization.

49005000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 49005000 is about 7000.3571337468. The cubic root of 49005000 is about 365.9430171970.

Multiplying 49005000 by its sum of digits (18), we get a square (882090000 = 29700²).

49005000 divided by its sum of digits (18) gives a square (2722500 = 1650²).

Adding to 49005000 its reverse (50094), we get a palindrome (49055094).

The spelling of 49005000 in words is "forty-nine million, five thousand".