464896 has 24 divisors (see below), whose sum is σ = 933660. Its totient is φ = 231424.

The previous prime is 464879. The next prime is 464897. The reversal of 464896 is 698464.

It is a super-2 number, since 2×464896² = 432256581632, which contains 22 as substring.

It is a nialpdrome in base 9.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (464897) by changing a digit.

464896 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1935 + ... + 2161.

2⁴⁶⁴⁸⁹⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 464896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466830).

464896 is an abundant number, since it is smaller than the sum of its proper divisors (468764).

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

464896 is an equidigital number, since it uses as much as digits as its factorization.

464896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 229 counting only the distinct ones).

The product of its digits is 41472, while the sum is 37.

The square root of 464896 is about 681.8328240852. The cubic root of 464896 is about 77.4673327463.

The spelling of 464896 in words is "four hundred sixty-four thousand, eight hundred ninety-six".