481481280 has 448 divisors, whose sum is σ = 2048256000. Its totient is φ = 104011776.

The previous prime is 481481279. The next prime is 481481291. The reversal of 481481280 is 82184184.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

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 63 ways as a sum of consecutive naturals, for example, 1148911 + ... + 1149329.

It is an arithmetic number, because the mean of its divisors is an integer number (4572000).

Almost surely, 2^481481280 is an apocalyptic number.

481481280 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 481481280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1024128000).

481481280 is an abundant number, since it is smaller than the sum of its proper divisors (1566774720).

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

481481280 is a wasteful number, since it uses less digits than its factorization.

481481280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The square root of 481481280 is about 21942.6816957272. The cubic root of 481481280 is about 783.7781199132.

The spelling of 481481280 in words is "four hundred eighty-one million, four hundred eighty-one thousand, two hundred eighty".