49600 has 42 divisors (see below), whose sum is σ = 125984. Its totient is φ = 19200.

The previous prime is 49597. The next prime is 49603. The reversal of 49600 is 694.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (49597) and next prime (49603).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1585 + ... + 1615.

2⁴⁹⁶⁰⁰ is an apocalyptic number.

49600 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 49600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62992).

49600 is an abundant number, since it is smaller than the sum of its proper divisors (76384).

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

49600 is a wasteful number, since it uses less digits than its factorization.

49600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 49600 is about 222.7105745132. The cubic root of 49600 is about 36.7418110003.

It can be divided in two parts, 4 and 9600, that added together give a square (9604 = 98²).

The spelling of 49600 in words is "forty-nine thousand, six hundred".