49464 has 32 divisors (see below), whose sum is σ = 138000. Its totient is φ = 16416.

The previous prime is 49463. The next prime is 49477. The reversal of 49464 is 46494.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49463) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 102 + ... + 330.

2⁴⁹⁴⁶⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69000).

49464 is an abundant number, since it is smaller than the sum of its proper divisors (88536).

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

49464 is a wasteful number, since it uses less digits than its factorization.

49464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 234 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 49464 is about 222.4050359142. The cubic root of 49464 is about 36.7081990358.

It can be divided in two parts, 4946 and 4, that added together give a triangular number (4950 = T₉₉).

The spelling of 49464 in words is "forty-nine thousand, four hundred sixty-four".