49645200 has 120 divisors (see below), whose sum is σ = 173533536. Its totient is φ = 12032000.

The previous prime is 49645199. The next prime is 49645213. The reversal of 49645200 is 254694.

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

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11320 + ... + 15080.

Almost surely, 2^49645200 is an apocalyptic number.

49645200 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 49645200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86766768).

49645200 is an abundant number, since it is smaller than the sum of its proper divisors (123888336).

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

49645200 is a wasteful number, since it uses less digits than its factorization.

49645200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3793 (or 3782 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 49645200 is about 7045.9349982809. The cubic root of 49645200 is about 367.5296843068.

Adding to 49645200 its reverse (254694), we get a palindrome (49899894).

The spelling of 49645200 in words is "forty-nine million, six hundred forty-five thousand, two hundred".