465696000 has 864 divisors, whose sum is σ = 2181029760. Its totient is φ = 96768000.

The previous prime is 465695987. The next prime is 465696059. The reversal of 465696000 is 696564.

It is a happy number.

465696000 is a `hidden beast` number, since 46 + 5 + 6 + 9 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 42335995 + ... + 42336005.

It is an arithmetic number, because the mean of its divisors is an integer number (2524340).

Almost surely, 2^465696000 is an apocalyptic number.

465696000 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 465696000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1090514880).

465696000 is an abundant number, since it is smaller than the sum of its proper divisors (1715333760).

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

465696000 is a wasteful number, since it uses less digits than its factorization.

465696000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 465696000 is about 21579.9907321574. The cubic root of 465696000 is about 775.1174293097.

The spelling of 465696000 in words is "four hundred sixty-five million, six hundred ninety-six thousand".