464816 has 40 divisors (see below), whose sum is σ = 1041600. Its totient is φ = 198720.

The previous prime is 464813. The next prime is 464819. The reversal of 464816 is 618464.

464816 = T₂₃₃ + T₂₃₄ + ... + T₂₄₈.

It is an interprime number because it is at equal distance from previous prime (464813) and next prime (464819).

It is a nialpdrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (464813) 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, 3275 + ... + 3413.

It is an arithmetic number, because the mean of its divisors is an integer number (26040).

2⁴⁶⁴⁸¹⁶ 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 464816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520800).

464816 is an abundant number, since it is smaller than the sum of its proper divisors (576784).

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

464816 is a wasteful number, since it uses less digits than its factorization.

464816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 171 counting only the distinct ones).

The product of its digits is 4608, while the sum is 29.

The square root of 464816 is about 681.7741561544. The cubic root of 464816 is about 77.4628889265.

It can be divided in two parts, 4648 and 16, that added together give a palindrome (4664).

The spelling of 464816 in words is "four hundred sixty-four thousand, eight hundred sixteen".