49561200 has 240 divisors, whose sum is σ = 190508640. Its totient is φ = 12165120.

The previous prime is 49561199. The next prime is 49561247. The reversal of 49561200 is 216594.

49561200 is a `hidden beast` number, since 49 + 5 + 612 + 0 + 0 = 666.

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 (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 140224 + ... + 140576.

It is an arithmetic number, because the mean of its divisors is an integer number (793786).

Almost surely, 2^49561200 is an apocalyptic number.

49561200 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 49561200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95254320).

49561200 is an abundant number, since it is smaller than the sum of its proper divisors (140947440).

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

49561200 is a wasteful number, since it uses less digits than its factorization.

49561200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 49561200 is about 7039.9715908518. The cubic root of 49561200 is about 367.3222797506.

Adding to 49561200 its reverse (216594), we get a palindrome (49777794).

The spelling of 49561200 in words is "forty-nine million, five hundred sixty-one thousand, two hundred".