484464240 has 360 divisors, whose sum is σ = 1845069408. Its totient is φ = 117573120.

The previous prime is 484464209. The next prime is 484464247. The reversal of 484464240 is 42464484.

484464240 is a `hidden beast` number, since 4 + 8 + 4 + 4 + 642 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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 = 484464195 and 484464204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (484464247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6823405 + ... + 6823475.

Almost surely, 2^484464240 is an apocalyptic number.

484464240 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 484464240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (922534704).

484464240 is an abundant number, since it is smaller than the sum of its proper divisors (1360605168).

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

484464240 is an equidigital number, since it uses as much as digits as its factorization.

484464240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

The square root of 484464240 is about 22010.5483802653. The cubic root of 484464240 is about 785.3933901249.

The spelling of 484464240 in words is "four hundred eighty-four million, four hundred sixty-four thousand, two hundred forty".