49015600 has 60 divisors (see below), whose sum is σ = 118449016. Its totient is φ = 19491840.

The previous prime is 49015559. The next prime is 49015609. The reversal of 49015600 is 651094.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (49015609) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 112984 + ... + 113416.

Almost surely, 2^49015600 is an apocalyptic number.

49015600 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 49015600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59224508).

49015600 is an abundant number, since it is smaller than the sum of its proper divisors (69433416).

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

49015600 is a wasteful number, since it uses less digits than its factorization.

49015600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 734 (or 723 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

The square root of 49015600 is about 7001.1141970404. The cubic root of 49015600 is about 365.9694003303.

Adding to 49015600 its reverse (651094), we get a palindrome (49666694).

It can be divided in two parts, 4901 and 5600, that added together give a palindrome (10501).

The spelling of 49015600 in words is "forty-nine million, fifteen thousand, six hundred".