465071816 has 64 divisors (see below), whose sum is σ = 1005480000. Its totient is φ = 199445760.

The previous prime is 465071813. The next prime is 465071923. The reversal of 465071816 is 618170564.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a self number, because there is not a number n which added to its sum of digits gives 465071816.

It is not an unprimeable number, because it can be changed into a prime (465071813) 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, 583130 + ... + 583926.

It is an arithmetic number, because the mean of its divisors is an integer number (15710625).

Almost surely, 2^465071816 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 465071816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502740000).

465071816 is an abundant number, since it is smaller than the sum of its proper divisors (540408184).

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

465071816 is a wasteful number, since it uses less digits than its factorization.

465071816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1182 (or 1178 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 38.

The square root of 465071816 is about 21565.5237821853. The cubic root of 465071816 is about 774.7709713805.

The spelling of 465071816 in words is "four hundred sixty-five million, seventy-one thousand, eight hundred sixteen".