49536000 has 264 divisors, whose sum is σ = 182657904. Its totient is φ = 12902400.

The previous prime is 49535999. The next prime is 49536017. The reversal of 49536000 is 63594.

It is a happy number.

49536000 is a `hidden beast` number, since 4 + 9 + 53 + 600 + 0 = 666.

It is a congruent number.

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, 1151979 + ... + 1152021.

It is an arithmetic number, because the mean of its divisors is an integer number (691886).

Almost surely, 2^49536000 is an apocalyptic number.

49536000 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 49536000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91328952).

49536000 is an abundant number, since it is smaller than the sum of its proper divisors (133121904).

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

49536000 is a wasteful number, since it uses less digits than its factorization.

49536000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 49536000 is about 7038.1815833353. The cubic root of 49536000 is about 367.2600126899.

Adding to 49536000 its reverse (63594), we get a palindrome (49599594).

The spelling of 49536000 in words is "forty-nine million, five hundred thirty-six thousand".