486338400 has 108 divisors (see below), whose sum is σ = 1714976172. Its totient is φ = 129688320.

The previous prime is 486338393. The next prime is 486338407. The reversal of 486338400 is 4833684.

It is an interprime number because it is at equal distance from previous prime (486338393) and next prime (486338407).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (486338407) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 26574 + ... + 40973.

It is an arithmetic number, because the mean of its divisors is an integer number (15879409).

Almost surely, 2^486338400 is an apocalyptic number.

486338400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

486338400 is an abundant number, since it is smaller than the sum of its proper divisors (1228637772).

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

486338400 is a wasteful number, since it uses less digits than its factorization.

486338400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67573 (or 67557 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 486338400 is about 22053.0814173439. The cubic root of 486338400 is about 786.4048571780.

The spelling of 486338400 in words is "four hundred eighty-six million, three hundred thirty-eight thousand, four hundred".