465288000 has 112 divisors (see below), whose sum is σ = 1536460224. Its totient is φ = 124070400.

The previous prime is 465287989. The next prime is 465288037. The reversal of 465288000 is 882564.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14307 + ... + 33693.

Almost surely, 2^465288000 is an apocalyptic number.

465288000 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 465288000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (768230112).

465288000 is an abundant number, since it is smaller than the sum of its proper divisors (1071172224).

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

465288000 is a wasteful number, since it uses less digits than its factorization.

465288000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19417 (or 19397 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 465288000 is about 21570.5354592787. The cubic root of 465288000 is about 774.8910009731.

The spelling of 465288000 in words is "four hundred sixty-five million, two hundred eighty-eight thousand".