481780080 has 240 divisors, whose sum is σ = 1727032320. Its totient is φ = 120079872.

The previous prime is 481780073. The next prime is 481780121. The reversal of 481780080 is 80087184.

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

It is a super-2 number, since 2×481780080² = 464224090969612800, which contains 22 as substring.

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

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, 778011 + ... + 778629.

It is an arithmetic number, because the mean of its divisors is an integer number (7195968).

Almost surely, 2^481780080 is an apocalyptic number.

481780080 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 481780080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (863516160).

481780080 is an abundant number, since it is smaller than the sum of its proper divisors (1245252240).

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

481780080 is a wasteful number, since it uses less digits than its factorization.

481780080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 708 (or 699 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The square root of 481780080 is about 21949.4892879083. The cubic root of 481780080 is about 783.9402200011.

The spelling of 481780080 in words is "four hundred eighty-one million, seven hundred eighty thousand, eighty".