481412520 has 192 divisors, whose sum is σ = 1619766720. Its totient is φ = 123927552.

The previous prime is 481412509. The next prime is 481412521. The reversal of 481412520 is 25214184.

It is not an unprimeable number, because it can be changed into a prime (481412521) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2120647 + ... + 2120873.

It is an arithmetic number, because the mean of its divisors is an integer number (8436285).

Almost surely, 2^481412520 is an apocalyptic number.

481412520 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 481412520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (809883360).

481412520 is an abundant number, since it is smaller than the sum of its proper divisors (1138354200).

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

481412520 is a wasteful number, since it uses less digits than its factorization.

481412520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 481412520 is about 21941.1148303818. The cubic root of 481412520 is about 783.7408078713.

The spelling of 481412520 in words is "four hundred eighty-one million, four hundred twelve thousand, five hundred twenty".