480438 has 64 divisors (see below), whose sum is σ = 1290240. Its totient is φ = 129600.

The previous prime is 480427. The next prime is 480449. The reversal of 480438 is 834084.

It is an interprime number because it is at equal distance from previous prime (480427) and next prime (480449).

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

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

It is an Ulam number.

It is a nialpdrome in base 15.

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 480438.

It is an unprimeable 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 31 ways as a sum of consecutive naturals, for example, 11698 + ... + 11738.

It is an arithmetic number, because the mean of its divisors is an integer number (20160).

2⁴⁸⁰⁴³⁸ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 480438, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (645120).

480438 is an abundant number, since it is smaller than the sum of its proper divisors (809802).

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

480438 is a wasteful number, since it uses less digits than its factorization.

480438 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 480438 is about 693.1363502227. The cubic root of 480438 is about 78.3211610280.

The spelling of 480438 in words is "four hundred eighty thousand, four hundred thirty-eight".