465204000 has 96 divisors (see below), whose sum is σ = 1524047616. Its totient is φ = 124051200.

The previous prime is 465203983. The next prime is 465204013. The reversal of 465204000 is 402564.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

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, 7384 + ... + 31383.

It is an arithmetic number, because the mean of its divisors is an integer number (15875496).

Almost surely, 2^465204000 is an apocalyptic number.

465204000 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 465204000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (762023808).

465204000 is an abundant number, since it is smaller than the sum of its proper divisors (1058843616).

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

465204000 is a wasteful number, since it uses less digits than its factorization.

465204000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38795 (or 38777 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 465204000 is about 21568.5882709092. The cubic root of 465204000 is about 774.8443669447.

Adding to 465204000 its reverse (402564), we get a palindrome (465606564).

The spelling of 465204000 in words is "four hundred sixty-five million, two hundred four thousand".