480400 has 30 divisors (see below), whose sum is σ = 1155122. Its totient is φ = 192000.

The previous prime is 480391. The next prime is 480409. The reversal of 480400 is 4084.

480400 is nontrivially palindromic in base 7.

It is an interprime number because it is at equal distance from previous prime (480391) and next prime (480409).

It can be written as a sum of positive squares in 3 ways, for example, as 7056 + 473344 = 84^2 + 688^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

480400 is an undulating number in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480409) by changing a digit.

480400 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 5 ways as a sum of consecutive naturals, for example, 201 + ... + 1000.

2⁴⁸⁰⁴⁰⁰ is an apocalyptic number.

480400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

480400 is an abundant number, since it is smaller than the sum of its proper divisors (674722).

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

480400 is a wasteful number, since it uses less digits than its factorization.

480400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1219 (or 1208 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 480400 is about 693.1089380465. The cubic root of 480400 is about 78.3190960494.

Adding to 480400 its reverse (4084), we get a palindrome (484484).

The spelling of 480400 in words is "four hundred eighty thousand, four hundred".