465335360 has 168 divisors, whose sum is σ = 1313444160. Its totient is φ = 156527616.

The previous prime is 465335317. The next prime is 465335369. The reversal of 465335360 is 63533564.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 465335360.

It is not an unprimeable number, because it can be changed into a prime (465335369) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 924869 + ... + 925371.

It is an arithmetic number, because the mean of its divisors is an integer number (7818120).

Almost surely, 2^465335360 is an apocalyptic number.

465335360 is a gapful number since it is divisible by the number (40) 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 465335360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656722080).

465335360 is an abundant number, since it is smaller than the sum of its proper divisors (848108800).

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

465335360 is a wasteful number, since it uses less digits than its factorization.

465335360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 593 (or 576 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 35.

The square root of 465335360 is about 21571.6332251408. The cubic root of 465335360 is about 774.9172912082.

The spelling of 465335360 in words is "four hundred sixty-five million, three hundred thirty-five thousand, three hundred sixty".