49215600 has 450 divisors, whose sum is σ = 212096544. Its totient is φ = 10886400.

The previous prime is 49215557. The next prime is 49215601. The reversal of 49215600 is 651294.

49215600 is a `hidden beast` number, since 49 + 2 + 15 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (450).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49215601) by changing a digit.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 1587585 + ... + 1587615.

Almost surely, 2^49215600 is an apocalyptic number.

49215600 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 49215600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106048272).

49215600 is an abundant number, since it is smaller than the sum of its proper divisors (162880944).

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

49215600 is a wasteful number, since it uses less digits than its factorization.

49215600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 48 counting only the distinct ones).

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

The square root of 49215600 is about 7015.3830971658. The cubic root of 49215600 is about 366.4664839343.

Adding to 49215600 its reverse (651294), we get a palindrome (49866894).

The spelling of 49215600 in words is "forty-nine million, two hundred fifteen thousand, six hundred".