465456000 has 128 divisors (see below), whose sum is σ = 1543145760. Its totient is φ = 124108800.

The previous prime is 465455983. The next prime is 465456001. The reversal of 465456000 is 654564.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (465456001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43152 + ... + 52848.

Almost surely, 2^465456000 is an apocalyptic number.

465456000 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 465456000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (771572880).

465456000 is an abundant number, since it is smaller than the sum of its proper divisors (1077689760).

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

465456000 is an equidigital number, since it uses as much as digits as its factorization.

465456000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9729 (or 9707 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 465456000 is about 21574.4293087905. The cubic root of 465456000 is about 774.9842521948.

The spelling of 465456000 in words is "four hundred sixty-five million, four hundred fifty-six thousand".