481116960 has 288 divisors, whose sum is σ = 1746042480. Its totient is φ = 120422400.

The previous prime is 481116959. The next prime is 481116971. The reversal of 481116960 is 69611184.

It is a happy number.

481116960 is a `hidden beast` number, since 481 + 116 + 9 + 60 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 124813584 + 356303376 = 11172^2 + 18876^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1712020 + ... + 1712300.

Almost surely, 2^481116960 is an apocalyptic number.

481116960 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 481116960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (873021240).

481116960 is an abundant number, since it is smaller than the sum of its proper divisors (1264925520).

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

481116960 is a wasteful number, since it uses less digits than its factorization.

481116960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 481116960 is about 21934.3784958681. The cubic root of 481116960 is about 783.5803842257.

The spelling of 481116960 in words is "four hundred eighty-one million, one hundred sixteen thousand, nine hundred sixty".