465532800 has 192 divisors, whose sum is σ = 1557221760. Its totient is φ = 122214400.

The previous prime is 465532783. The next prime is 465532801. The reversal of 465532800 is 8235564.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (465532801) 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, 681259 + ... + 681941.

It is an arithmetic number, because the mean of its divisors is an integer number (8110530).

Almost surely, 2^465532800 is an apocalyptic number.

465532800 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 465532800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (778610880).

465532800 is an abundant number, since it is smaller than the sum of its proper divisors (1091688960).

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

465532800 is a wasteful number, since it uses less digits than its factorization.

465532800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 781 (or 764 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 465532800 is about 21576.2091202324. The cubic root of 465532800 is about 775.0268738513.

The spelling of 465532800 in words is "four hundred sixty-five million, five hundred thirty-two thousand, eight hundred".