464916 has 48 divisors (see below), whose sum is σ = 1197504. Its totient is φ = 139776.

The previous prime is 464909. The next prime is 464917. The reversal of 464916 is 619464.

It is a super-2 number, since 2×464916² = 432293774112, which contains 22 as substring.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a nialpdrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (464917) by changing a digit.

464916 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 (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8746 + ... + 8798.

It is an arithmetic number, because the mean of its divisors is an integer number (24948).

2⁴⁶⁴⁹¹⁶ 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 464916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (598752).

464916 is an abundant number, since it is smaller than the sum of its proper divisors (732588).

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

464916 is a wasteful number, since it uses less digits than its factorization.

464916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 118 counting only the distinct ones).

The product of its digits is 5184, while the sum is 30.

The square root of 464916 is about 681.8474902792. The cubic root of 464916 is about 77.4684436216.

The spelling of 464916 in words is "four hundred sixty-four thousand, nine hundred sixteen".