48774 has 16 divisors (see below), whose sum is σ = 106560. Its totient is φ = 14760.

The previous prime is 48767. The next prime is 48779. The reversal of 48774 is 47784.

It is a Curzon number.

It is a plaindrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48779) by changing a digit.

48774 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 304 + ... + 435.

It is an arithmetic number, because the mean of its divisors is an integer number (6660).

2⁴⁸⁷⁷⁴ is an apocalyptic number.

48774 is an abundant number, since it is smaller than the sum of its proper divisors (57786).

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 (53280).

48774 is a wasteful number, since it uses less digits than its factorization.

48774 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 755.

The product of its digits is 6272, while the sum is 30.

The square root of 48774 is about 220.8483642683. The cubic root of 48774 is about 36.5367116713.

Subtracting from 48774 its reverse (47784), we obtain a triangular number (990 = T₄₄).

It can be divided in two parts, 487 and 74, that added together give a triangular number (561 = T₃₃).

The spelling of 48774 in words is "forty-eight thousand, seven hundred seventy-four".