481950 has 120 divisors (see below), whose sum is σ = 1620432. Its totient is φ = 103680.

The previous prime is 481939. The next prime is 481963. The reversal of 481950 is 59184.

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

It is a Curzon number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 481950.

It is an unprimeable number.

481950 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 59 ways as a sum of consecutive naturals, for example, 28342 + ... + 28358.

2⁴⁸¹⁹⁵⁰ is an apocalyptic number.

481950 is the 567-th pentagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 481950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (810216).

481950 is an abundant number, since it is smaller than the sum of its proper divisors (1138482).

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

481950 is a wasteful number, since it uses less digits than its factorization.

481950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 481950 is about 694.2261879244. The cubic root of 481950 is about 78.4032372327.

It can be divided in two parts, 481 and 950, that added together give a triangular number (1431 = T₅₃).

The spelling of 481950 in words is "four hundred eighty-one thousand, nine hundred fifty".