484226405000 has 180 divisors, whose sum is σ = 1230153267915. Its totient is φ = 178555104000.

The previous prime is 484226404967. The next prime is 484226405023. The reversal of 484226405000 is 504622484.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 23 ways, for example, as 459079422916 + 25146982084 = 677554^2 + 158578^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=492050.

It is a super-2 number, since 2×484226405000² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 639664622 + ... + 639665378.

Almost surely, 2^484226405000 is an apocalyptic number.

484226405000 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 484226405000

484226405000 is an abundant number, since it is smaller than the sum of its proper divisors (745926862915).

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

484226405000 is an frugal number, since it uses more digits than its factorization.

484226405000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1566 (or 777 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 35.

The spelling of 484226405000 in words is "four hundred eighty-four billion, two hundred twenty-six million, four hundred five thousand".