486400 has 66 divisors (see below), whose sum is σ = 1269140. Its totient is φ = 184320.

The previous prime is 486397. The next prime is 486407. The reversal of 486400 is 4684.

It is not an unprimeable number, because it can be changed into a prime (486407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 25591 + ... + 25609.

2⁴⁸⁶⁴⁰⁰ is an apocalyptic number.

486400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 486400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (634570).

486400 is an abundant number, since it is smaller than the sum of its proper divisors (782740).

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

486400 is a wasteful number, since it uses less digits than its factorization.

486400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49 (or 26 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 486400 is about 697.4238309665. The cubic root of 486400 is about 78.6438057993.

The spelling of 486400 in words is "four hundred eighty-six thousand, four hundred".