481609960 has 128 divisors (see below), whose sum is σ = 1222452000. Its totient is φ = 169537536.

The previous prime is 481609957. The next prime is 481610021. The reversal of 481609960 is 69906184.

It can be written as a sum of positive squares in 16 ways, for example, as 117029124 + 364580836 = 10818^2 + 19094^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1643574 + ... + 1643866.

Almost surely, 2^481609960 is an apocalyptic number.

481609960 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 481609960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611226000).

481609960 is an abundant number, since it is smaller than the sum of its proper divisors (740842040).

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

481609960 is a wasteful number, since it uses less digits than its factorization.

481609960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 43.

The square root of 481609960 is about 21945.6136847435. The cubic root of 481609960 is about 783.8479375012.

The spelling of 481609960 in words is "four hundred eighty-one million, six hundred nine thousand, nine hundred sixty".