484859520 has 320 divisors, whose sum is σ = 1777248000. Its totient is φ = 125908992.

The previous prime is 484859519. The next prime is 484859549. The reversal of 484859520 is 25958484.

484859520 is a `hidden beast` number, since 48 + 4 + 85 + 9 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-3 number, since 3×484859520³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2436381 + ... + 2436579.

It is an arithmetic number, because the mean of its divisors is an integer number (5553900).

Almost surely, 2^484859520 is an apocalyptic number.

484859520 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 484859520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (888624000).

484859520 is an abundant number, since it is smaller than the sum of its proper divisors (1292388480).

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

484859520 is a wasteful number, since it uses less digits than its factorization.

484859520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The square root of 484859520 is about 22019.5258804544. The cubic root of 484859520 is about 785.6069359202.

The spelling of 484859520 in words is "four hundred eighty-four million, eight hundred fifty-nine thousand, five hundred twenty".