481006512 has 200 divisors, whose sum is σ = 1635195936. Its totient is φ = 133622784.

The previous prime is 481006481. The next prime is 481006523. The reversal of 481006512 is 215600184.

481006512 is a `hidden beast` number, since 4 + 8 + 1 + 0 + 0 + 651 + 2 = 666.

It is a super-3 number, since 3×481006512³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 334948 + ... + 336380.

Almost surely, 2^481006512 is an apocalyptic number.

481006512 is a gapful number since it is divisible by the number (42) 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 481006512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (817597968).

481006512 is an abundant number, since it is smaller than the sum of its proper divisors (1154189424).

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

481006512 is a wasteful number, since it uses less digits than its factorization.

481006512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1497 (or 1482 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 481006512 is about 21931.8606597799. The cubic root of 481006512 is about 783.5204185507.

Adding to 481006512 its reverse (215600184), we get a palindrome (696606696).

The spelling of 481006512 in words is "four hundred eighty-one million, six thousand, five hundred twelve".