481914810 has 96 divisors (see below), whose sum is σ = 1428794640. Its totient is φ = 111642624.

The previous prime is 481914787. The next prime is 481914863. The reversal of 481914810 is 18419184.

It can be written as a sum of positive squares in 8 ways, for example, as 88566921 + 393347889 = 9411^2 + 19833^2 .

It is a super-2 number, since 2×481914810² = 464483768194672200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7776 + ... + 32004.

Almost surely, 2^481914810 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 481914810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (714397320).

481914810 is an abundant number, since it is smaller than the sum of its proper divisors (946879830).

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

481914810 is a wasteful number, since it uses less digits than its factorization.

481914810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24272 (or 24269 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 481914810 is about 21952.5581652800. The cubic root of 481914810 is about 784.0132895932.

The spelling of 481914810 in words is "four hundred eighty-one million, nine hundred fourteen thousand, eight hundred ten".