481565880 has 192 divisors, whose sum is σ = 1634256000. Its totient is φ = 122830848.

The previous prime is 481565867. The next prime is 481565893. The reversal of 481565880 is 88565184.

481565880 is a `hidden beast` number, since 4 + 8 + 1 + 565 + 8 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (481565867) and next prime (481565893).

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

It is a congruent number.

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, 2014801 + ... + 2015039.

It is an arithmetic number, because the mean of its divisors is an integer number (8511750).

Almost surely, 2^481565880 is an apocalyptic number.

481565880 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 481565880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (817128000).

481565880 is an abundant number, since it is smaller than the sum of its proper divisors (1152690120).

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

481565880 is a wasteful number, since it uses less digits than its factorization.

481565880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 45.

The square root of 481565880 is about 21944.6093608430. The cubic root of 481565880 is about 783.8240225256.

The spelling of 481565880 in words is "four hundred eighty-one million, five hundred sixty-five thousand, eight hundred eighty".