484577520 has 480 divisors, whose sum is σ = 1959303168. Its totient is φ = 96657408.

The previous prime is 484577507. The next prime is 484577521. The reversal of 484577520 is 25775484.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (484577521) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10310137 + ... + 10310183.

Almost surely, 2^484577520 is an apocalyptic number.

484577520 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 484577520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (979651584).

484577520 is an abundant number, since it is smaller than the sum of its proper divisors (1474725648).

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

484577520 is a wasteful number, since it uses less digits than its factorization.

484577520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 313600, while the sum is 42.

The square root of 484577520 is about 22013.1215414807. The cubic root of 484577520 is about 785.4546003047.

It can be divided in two parts, 4845 and 77520, that multiplied together give a square (375584400 = 19380²).

The spelling of 484577520 in words is "four hundred eighty-four million, five hundred seventy-seven thousand, five hundred twenty".