481217490 has 128 divisors (see below), whose sum is σ = 1411845120. Its totient is φ = 115893504.

The previous prime is 481217489. The next prime is 481217491. The reversal of 481217490 is 94712184.

481217490 is a `hidden beast` number, since 48 + 121 + 7 + 490 = 666.

It is an interprime number because it is at equal distance from previous prime (481217489) and next prime (481217491).

It is not an unprimeable number, because it can be changed into a prime (481217491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 163512 + ... + 166428.

It is an arithmetic number, because the mean of its divisors is an integer number (11030040).

Almost surely, 2^481217490 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 481217490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (705922560).

481217490 is an abundant number, since it is smaller than the sum of its proper divisors (930627630).

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

481217490 is a wasteful number, since it uses less digits than its factorization.

481217490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2993 (or 2987 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 481217490 is about 21936.6699842980. The cubic root of 481217490 is about 783.6349571304.

It can be divided in two parts, 48121 and 7490, that added together give a triangular number (55611 = T₃₃₃).

The spelling of 481217490 in words is "four hundred eighty-one million, two hundred seventeen thousand, four hundred ninety".