465484800 has 528 divisors, whose sum is σ = 1827561600. Its totient is φ = 103219200.

The previous prime is 465484727. The next prime is 465484801. The reversal of 465484800 is 8484564.

It is a tau number, because it is divible by the number of its divisors (528).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (465484801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16051186 + ... + 16051214.

Almost surely, 2^465484800 is an apocalyptic number.

465484800 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 465484800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (913780800).

465484800 is an abundant number, since it is smaller than the sum of its proper divisors (1362076800).

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

465484800 is a wasteful number, since it uses less digits than its factorization.

465484800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 39.

The square root of 465484800 is about 21575.0967552871. The cubic root of 465484800 is about 775.0002358653. Note that the first 3 decimals are identical.

The spelling of 465484800 in words is "four hundred sixty-five million, four hundred eighty-four thousand, eight hundred".