484286040 has 320 divisors, whose sum is σ = 1885973760. Its totient is φ = 109175040.

The previous prime is 484286029. The next prime is 484286057. The reversal of 484286040 is 40682484.

484286040 is a `hidden beast` number, since 4 + 8 + 42 + 8 + 604 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 484285986 and 484286004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2970999 + ... + 2971161.

It is an arithmetic number, because the mean of its divisors is an integer number (5893668).

Almost surely, 2^484286040 is an apocalyptic number.

484286040 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 484286040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (942986880).

484286040 is an abundant number, since it is smaller than the sum of its proper divisors (1401687720).

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

484286040 is a wasteful number, since it uses less digits than its factorization.

484286040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 484286040 is about 22006.4999488787. The cubic root of 484286040 is about 785.2970814922.

The spelling of 484286040 in words is "four hundred eighty-four million, two hundred eighty-six thousand, forty".