465407016 has 64 divisors (see below), whose sum is σ = 1198860480. Its totient is φ = 150451200.

The previous prime is 465407009. The next prime is 465407039. The reversal of 465407016 is 610704564.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 355435 + ... + 356741.

It is an arithmetic number, because the mean of its divisors is an integer number (18732195).

Almost surely, 2^465407016 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 465407016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599430240).

465407016 is an abundant number, since it is smaller than the sum of its proper divisors (733453464).

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

465407016 is a wasteful number, since it uses less digits than its factorization.

465407016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1754 (or 1750 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 465407016 is about 21573.2940461117. The cubic root of 465407016 is about 774.9570651206.

The spelling of 465407016 in words is "four hundred sixty-five million, four hundred seven thousand, sixteen".