486000400 has 60 divisors (see below), whose sum is σ = 1169759952. Its totient is φ = 194043520.

The previous prime is 486000391. The next prime is 486000401. The reversal of 486000400 is 4000684.

It is not an unprimeable number, because it can be changed into a prime (486000401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 378159 + ... + 379441.

Almost surely, 2^486000400 is an apocalyptic number.

486000400 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 486000400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584879976).

486000400 is an abundant number, since it is smaller than the sum of its proper divisors (683759552).

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

486000400 is a wasteful number, since it uses less digits than its factorization.

486000400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2248 (or 2237 counting only the distinct ones).

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

The square root of 486000400 is about 22045.4167572310. The cubic root of 486000400 is about 786.2226339615. Note that the first 3 decimals are identical.

The spelling of 486000400 in words is "four hundred eighty-six million, four hundred", and thus it is an aban number.