49960 has 16 divisors (see below), whose sum is σ = 112500. Its totient is φ = 19968.

The previous prime is 49957. The next prime is 49991. The reversal of 49960 is 6994.

49960 = T₁₈₁ + T₁₈₂ + T₁₈₃.

It can be written as a sum of positive squares in 2 ways, for example, as 49284 + 676 = 222^2 + 26^2 .

It is a plaindrome in base 11.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 585 + ... + 664.

2⁴⁹⁹⁶⁰ is an apocalyptic number.

49960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

49960 is the 183-rd centered triangular number.

It is an amenable number.

49960 is an abundant number, since it is smaller than the sum of its proper divisors (62540).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56250).

49960 is a wasteful number, since it uses less digits than its factorization.

49960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1260 (or 1256 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 28.

The square root of 49960 is about 223.5173371352. The cubic root of 49960 is about 36.8304882815.

The spelling of 49960 in words is "forty-nine thousand, nine hundred sixty".