481564616 has 64 divisors (see below), whose sum is σ = 1024531200. Its totient is φ = 210532608.

The previous prime is 481564609. The next prime is 481564619. The reversal of 481564616 is 616465184.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (481564619) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 259805 + ... + 261651.

It is an arithmetic number, because the mean of its divisors is an integer number (16008300).

Almost surely, 2^481564616 is an apocalyptic number.

481564616 is a gapful number since it is divisible by the number (46) 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 481564616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512265600).

481564616 is an abundant number, since it is smaller than the sum of its proper divisors (542966584).

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

481564616 is a wasteful number, since it uses less digits than its factorization.

481564616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1998 (or 1994 counting only the distinct ones).

The product of its digits is 138240, while the sum is 41.

The square root of 481564616 is about 21944.5805610406. The cubic root of 481564616 is about 783.8233367389.

The spelling of 481564616 in words is "four hundred eighty-one million, five hundred sixty-four thousand, six hundred sixteen".