484731520 has 384 divisors, whose sum is σ = 1538384400. Its totient is φ = 144506880.

The previous prime is 484731517. The next prime is 484731529. The reversal of 484731520 is 25137484.

It can be written as a sum of positive squares in 8 ways, for example, as 29506624 + 455224896 = 5432^2 + 21336^2 .

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (484731529) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11822700 + ... + 11822740.

Almost surely, 2^484731520 is an apocalyptic number.

484731520 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 484731520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (769192200).

484731520 is an abundant number, since it is smaller than the sum of its proper divisors (1053652880).

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

484731520 is a wasteful number, since it uses less digits than its factorization.

484731520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 34.

The square root of 484731520 is about 22016.6191773396. The cubic root of 484731520 is about 785.5377979989.

The spelling of 484731520 in words is "four hundred eighty-four million, seven hundred thirty-one thousand, five hundred twenty".