480150 has 72 divisors (see below), whose sum is σ = 1421784. Its totient is φ = 115200.

The previous prime is 480143. The next prime is 480157. The reversal of 480150 is 51084.

480150 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (480143) and next prime (480157).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480157) by changing a digit.

480150 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4902 + ... + 4998.

It is an arithmetic number, because the mean of its divisors is an integer number (19747).

2⁴⁸⁰¹⁵⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 480150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (710892).

480150 is an abundant number, since it is smaller than the sum of its proper divisors (941634).

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

480150 is a wasteful number, since it uses less digits than its factorization.

480150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 480150 is about 692.9285677471. The cubic root of 480150 is about 78.3055079482.

It can be divided in two parts, 4801 and 50, that added together give a triangular number (4851 = T₉₈).

The spelling of 480150 in words is "four hundred eighty thousand, one hundred fifty".