481276080 has 240 divisors, whose sum is σ = 1765720320. Its totient is φ = 121492224.

The previous prime is 481276067. The next prime is 481276087. The reversal of 481276080 is 80672184.

481276080 is a `hidden beast` number, since 48 + 1 + 2 + 7 + 608 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is not an unprimeable number, because it can be changed into a prime (481276087) 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, 368709 + ... + 370011.

It is an arithmetic number, because the mean of its divisors is an integer number (7357168).

Almost surely, 2^481276080 is an apocalyptic number.

481276080 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 481276080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (882860160).

481276080 is an abundant number, since it is smaller than the sum of its proper divisors (1284444240).

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

481276080 is a wasteful number, since it uses less digits than its factorization.

481276080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1350 (or 1332 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 481276080 is about 21938.0053787941. The cubic root of 481276080 is about 783.6667593195. Note that the first 3 decimals are identical.

The spelling of 481276080 in words is "four hundred eighty-one million, two hundred seventy-six thousand, eighty".