49770 has 48 divisors (see below), whose sum is σ = 149760. Its totient is φ = 11232.

The previous prime is 49757. The next prime is 49783. The reversal of 49770 is 7794.

49770 is a nontrivial binomial coefficient, being equal to C(316, 2).

It is an interprime number because it is at equal distance from previous prime (49757) and next prime (49783).

It is a nialpdrome in base 15.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 591 + ... + 669.

It is an arithmetic number, because the mean of its divisors is an integer number (3120).

2⁴⁹⁷⁷⁰ is an apocalyptic number.

49770 is the 315-th triangular number and also the 158-th hexagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74880).

49770 is an abundant number, since it is smaller than the sum of its proper divisors (99990).

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

49770 is a wasteful number, since it uses less digits than its factorization.

49770 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 49770 is about 223.0919093109. The cubic root of 49770 is about 36.7837396657.

The spelling of 49770 in words is "forty-nine thousand, seven hundred seventy".