465545216 has 48 divisors (see below), whose sum is σ = 948647700. Its totient is φ = 228327424.

The previous prime is 465545203. The next prime is 465545237. The reversal of 465545216 is 612545564.

It can be written as a sum of positive squares in 2 ways, for example, as 400000000 + 65545216 = 20000^2 + 8096^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 465545216.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 106400 + ... + 110688.

Almost surely, 2^465545216 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 465545216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474323850).

465545216 is an abundant number, since it is smaller than the sum of its proper divisors (483102484).

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

465545216 is an equidigital number, since it uses as much as digits as its factorization.

465545216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4364 (or 4344 counting only the distinct ones).

The product of its digits is 144000, while the sum is 38.

The square root of 465545216 is about 21576.4968426295. The cubic root of 465545216 is about 775.0337639123.

It can be divided in two parts, 4 and 65545216, that multiplied together give a square (262180864 = 16192²).

The spelling of 465545216 in words is "four hundred sixty-five million, five hundred forty-five thousand, two hundred sixteen".