49338000 has 120 divisors (see below), whose sum is σ = 172384056. Its totient is φ = 13152000.

The previous prime is 49337987. The next prime is 49338007. The reversal of 49338000 is 83394.

It can be written as a sum of positive squares in 4 ways, for example, as 4822416 + 44515584 = 2196^2 + 6672^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (49338007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16630 + ... + 19370.

Almost surely, 2^49338000 is an apocalyptic number.

49338000 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 49338000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86192028).

49338000 is an abundant number, since it is smaller than the sum of its proper divisors (123046056).

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

49338000 is a wasteful number, since it uses less digits than its factorization.

49338000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2770 (or 2751 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 49338000 is about 7024.1013660112. The cubic root of 49338000 is about 366.7700351354.

The spelling of 49338000 in words is "forty-nine million, three hundred thirty-eight thousand".