465326400 has 336 divisors, whose sum is σ = 1904878080. Its totient is φ = 96614400.

The previous prime is 465326371. The next prime is 465326401. The reversal of 465326400 is 4623564.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (465326401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 368971 + ... + 370229.

It is an arithmetic number, because the mean of its divisors is an integer number (5669280).

Almost surely, 2^465326400 is an apocalyptic number.

465326400 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 465326400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (952439040).

465326400 is an abundant number, since it is smaller than the sum of its proper divisors (1439551680).

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

465326400 is a wasteful number, since it uses less digits than its factorization.

465326400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1302 (or 1287 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 465326400 is about 21571.4255439922. The cubic root of 465326400 is about 774.9123175168.

Adding to 465326400 its reverse (4623564), we get a palindrome (469949964).

The spelling of 465326400 in words is "four hundred sixty-five million, three hundred twenty-six thousand, four hundred".