481026560 has 160 divisors (see below), whose sum is σ = 1396517760. Its totient is φ = 155123712.

The previous prime is 481026551. The next prime is 481026599. The reversal of 481026560 is 65620184.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-3 number, since 3×481026560³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 303851 + ... + 305429.

It is an arithmetic number, because the mean of its divisors is an integer number (8728236).

Almost surely, 2^481026560 is an apocalyptic number.

481026560 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 481026560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (698258880).

481026560 is an abundant number, since it is smaller than the sum of its proper divisors (915491200).

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

481026560 is a wasteful number, since it uses less digits than its factorization.

481026560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1626 (or 1610 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 481026560 is about 21932.3177069821. The cubic root of 481026560 is about 783.5313039190.

The spelling of 481026560 in words is "four hundred eighty-one million, twenty-six thousand, five hundred sixty".