486521400 has 96 divisors (see below), whose sum is σ = 1560279600. Its totient is φ = 125260800.

The previous prime is 486521383. The next prime is 486521417. The reversal of 486521400 is 4125684.

It is an interprime number because it is at equal distance from previous prime (486521383) and next prime (486521417).

It is a super-3 number, since 3×486521400³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3420 + ... + 31380.

Almost surely, 2^486521400 is an apocalyptic number.

486521400 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 486521400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (780139800).

486521400 is an abundant number, since it is smaller than the sum of its proper divisors (1073758200).

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

486521400 is a wasteful number, since it uses less digits than its factorization.

486521400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28009 (or 28000 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 486521400 is about 22057.2301071553. The cubic root of 486521400 is about 786.5034812651.

The spelling of 486521400 in words is "four hundred eighty-six million, five hundred twenty-one thousand, four hundred".