486438400 has 240 divisors, whose sum is σ = 1415668320. Its totient is φ = 162201600.

The previous prime is 486438397. The next prime is 486438419. The reversal of 486438400 is 4834684.

It is a self number, because there is not a number n which added to its sum of digits gives 486438400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5465556 + ... + 5465644.

It is an arithmetic number, because the mean of its divisors is an integer number (5898618).

Almost surely, 2^486438400 is an apocalyptic number.

486438400 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 486438400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707834160).

486438400 is an abundant number, since it is smaller than the sum of its proper divisors (929229920).

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

486438400 is an equidigital number, since it uses as much as digits as its factorization.

486438400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 37.

The square root of 486438400 is about 22055.3485576628. The cubic root of 486438400 is about 786.4587531870.

It can be divided in two parts, 4864 and 38400, that added together give a square (43264 = 208²).

The spelling of 486438400 in words is "four hundred eighty-six million, four hundred thirty-eight thousand, four hundred".