49651200 has 180 divisors, whose sum is σ = 178100208. Its totient is φ = 13209600.

The previous prime is 49651171. The next prime is 49651207. The reversal of 49651200 is 215694.

49651200 is a `hidden beast` number, since 4 + 9 + 651 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×49651200² = 4930483322880000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49651207) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 114985 + ... + 115415.

Almost surely, 2^49651200 is an apocalyptic number.

49651200 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 49651200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89050104).

49651200 is an abundant number, since it is smaller than the sum of its proper divisors (128449008).

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

49651200 is a wasteful number, since it uses less digits than its factorization.

49651200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465 (or 441 counting only the distinct ones).

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

The square root of 49651200 is about 7046.3607628335. The cubic root of 49651200 is about 367.5444899629.

Adding to 49651200 its reverse (215694), we get a palindrome (49866894).

It can be divided in two parts, 49 and 651200, that added together give a square (651249 = 807²).

The spelling of 49651200 in words is "forty-nine million, six hundred fifty-one thousand, two hundred".