481519080 has 336 divisors, whose sum is σ = 1895196420. Its totient is φ = 109734912.

The previous prime is 481519079. The next prime is 481519081. The reversal of 481519080 is 80915184.

It is an interprime number because it is at equal distance from previous prime (481519079) and next prime (481519081).

It can be written as a sum of positive squares in 2 ways, for example, as 464230116 + 17288964 = 21546^2 + 4158^2 .

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 (481519081) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 1428672 + ... + 1429008.

Almost surely, 2^481519080 is an apocalyptic number.

481519080 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 481519080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (947598210).

481519080 is an abundant number, since it is smaller than the sum of its proper divisors (1413677340).

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

481519080 is a wasteful number, since it uses less digits than its factorization.

481519080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 481519080 is about 21943.5430138344. The cubic root of 481519080 is about 783.7986302556.

The spelling of 481519080 in words is "four hundred eighty-one million, five hundred nineteen thousand, eighty".