465400000 has 168 divisors, whose sum is σ = 1250076240. Its totient is φ = 170880000.

The previous prime is 465399971. The next prime is 465400073. The reversal of 465400000 is 4564.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2599911 + ... + 2600089.

It is an arithmetic number, because the mean of its divisors is an integer number (7440930).

Almost surely, 2^465400000 is an apocalyptic number.

465400000 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 465400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (625038120).

465400000 is an abundant number, since it is smaller than the sum of its proper divisors (784676240).

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

465400000 is an equidigital number, since it uses as much as digits as its factorization.

465400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 465400000 is about 21573.1314370446. The cubic root of 465400000 is about 774.9531709477.

Adding to 465400000 its reverse (4564), we get a palindrome (465404564).

The spelling of 465400000 in words is "four hundred sixty-five million, four hundred thousand".