481006540 has 144 divisors (see below), whose sum is σ = 1235533824. Its totient is φ = 156643200.

The previous prime is 481006529. The next prime is 481006573. The reversal of 481006540 is 45600184.

It is a super-3 number, since 3×481006540³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 481006499 and 481006508.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2156869 + ... + 2157091.

It is an arithmetic number, because the mean of its divisors is an integer number (8580096).

Almost surely, 2^481006540 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 481006540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617766912).

481006540 is an abundant number, since it is smaller than the sum of its proper divisors (754527284).

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

481006540 is a wasteful number, since it uses less digits than its factorization.

481006540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 481006540 is about 21931.8612981206. The cubic root of 481006540 is about 783.5204337540.

The spelling of 481006540 in words is "four hundred eighty-one million, six thousand, five hundred forty".