456899616 has 120 divisors (see below), whose sum is σ = 1422909180. Its totient is φ = 143327232.

The previous prime is 456899587. The next prime is 456899617. The reversal of 456899616 is 616998654.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 449609616 + 7290000 = 21204^2 + 2700^2 .

It is a super-3 number, since 3×456899616³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (456899617) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 38880 + ... + 49248.

Almost surely, 2^456899616 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 456899616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (711454590).

456899616 is an abundant number, since it is smaller than the sum of its proper divisors (966009564).

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

456899616 is a wasteful number, since it uses less digits than its factorization.

456899616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10408 (or 10391 counting only the distinct ones).

The product of its digits is 2799360, while the sum is 54.

The square root of 456899616 is about 21375.2103147548. The cubic root of 456899616 is about 770.2060594297.

The spelling of 456899616 in words is "four hundred fifty-six million, eight hundred ninety-nine thousand, six hundred sixteen".