481488462 has 224 divisors, whose sum is σ = 1410232320. Its totient is φ = 119672640.

The previous prime is 481488451. The next prime is 481488473. The reversal of 481488462 is 264884184.

481488462 is a `hidden beast` number, since 48 + 148 + 8 + 462 = 666.

It is an interprime number because it is at equal distance from previous prime (481488451) and next prime (481488473).

It is a super-2 number, since 2×481488462² = 463662278078250888, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 111 ways as a sum of consecutive naturals, for example, 2520787 + ... + 2520977.

It is an arithmetic number, because the mean of its divisors is an integer number (6295680).

Almost surely, 2^481488462 is an apocalyptic number.

481488462 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 481488462, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (705116160).

481488462 is an abundant number, since it is smaller than the sum of its proper divisors (928743858).

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

481488462 is a wasteful number, since it uses less digits than its factorization.

481488462 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 235 counting only the distinct ones).

The product of its digits is 393216, while the sum is 45.

The square root of 481488462 is about 21942.8453487692. The cubic root of 481488462 is about 783.7820169609.

The spelling of 481488462 in words is "four hundred eighty-one million, four hundred eighty-eight thousand, four hundred sixty-two".