464776 has 32 divisors (see below), whose sum is σ = 970200. Its totient is φ = 207360.

The previous prime is 464773. The next prime is 464777. The reversal of 464776 is 677464.

It can be written as a sum of positive squares in 4 ways, for example, as 240100 + 224676 = 490^2 + 474^2 .

It is a d-powerful number, because it can be written as 4² + 6⁴ + 7³ + 4⁸ + 7⁶ + 6⁷ .

It is not an unprimeable number, because it can be changed into a prime (464771) 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, 4210 + ... + 4318.

2⁴⁶⁴⁷⁷⁶ 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 464776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485100).

464776 is an abundant number, since it is smaller than the sum of its proper divisors (505424).

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

464776 is a wasteful number, since it uses less digits than its factorization.

464776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 165 counting only the distinct ones).

The product of its digits is 28224, while the sum is 34.

The square root of 464776 is about 681.7448202957. The cubic root of 464776 is about 77.4606668254.

The spelling of 464776 in words is "four hundred sixty-four thousand, seven hundred seventy-six".