464000 has 64 divisors (see below), whose sum is σ = 1193400. Its totient is φ = 179200.

The previous prime is 463993. The next prime is 464003. The reversal of 464000 is 464.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 141376 + 322624 = 376^2 + 568^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (464003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15986 + ... + 16014.

2⁴⁶⁴⁰⁰⁰ is an apocalyptic number.

464000 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 464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596700).

464000 is an abundant number, since it is smaller than the sum of its proper divisors (729400).

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

464000 is an equidigital number, since it uses as much as digits as its factorization.

464000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 464000 is about 681.1754546371. The cubic root of 464000 is about 77.4175328126.

Adding to 464000 its reverse (464), we get a palindrome (464464).

464000 divided by its reverse (464) gives a cube (1000 = 10³).

The spelling of 464000 in words is "four hundred sixty-four thousand".