49517600 has 144 divisors (see below), whose sum is σ = 140053536. Its totient is φ = 16896000.

The previous prime is 49517593. The next prime is 49517603. The reversal of 49517600 is 671594.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (49517603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 149435 + ... + 149765.

It is an arithmetic number, because the mean of its divisors is an integer number (972594).

Almost surely, 2^49517600 is an apocalyptic number.

49517600 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 49517600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70026768).

49517600 is an abundant number, since it is smaller than the sum of its proper divisors (90535936).

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

49517600 is a wasteful number, since it uses less digits than its factorization.

49517600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 32.

The square root of 49517600 is about 7036.8743061106. The cubic root of 49517600 is about 367.2145345117.

The spelling of 49517600 in words is "forty-nine million, five hundred seventeen thousand, six hundred".