484464640 has 288 divisors, whose sum is σ = 1411693920. Its totient is φ = 158597120.

The previous prime is 484464557. The next prime is 484464677. The reversal of 484464640 is 46464484.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 484464593 and 484464602.

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, 21063669 + ... + 21063691.

It is an arithmetic number, because the mean of its divisors is an integer number (4901715).

Almost surely, 2^484464640 is an apocalyptic number.

484464640 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 484464640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (705846960).

484464640 is an abundant number, since it is smaller than the sum of its proper divisors (927229280).

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

484464640 is a wasteful number, since it uses less digits than its factorization.

484464640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 40.

The square root of 484464640 is about 22010.5574668158. The cubic root of 484464640 is about 785.3936062794.

It can be divided in two parts, 484 and 464640, that added together give a square (465124 = 682²).

The spelling of 484464640 in words is "four hundred eighty-four million, four hundred sixty-four thousand, six hundred forty".