464733 has 6 divisors (see below), whose sum is σ = 671294. Its totient is φ = 309816.

The previous prime is 464699. The next prime is 464741. The reversal of 464733 is 337464.

It can be written as a sum of positive squares in only one way, i.e., 363609 + 101124 = 603^2 + 318^2 .

It is not a de Polignac number, because 464733 - 2¹² = 460637 is a prime.

It is a super-2 number, since 2×464733² = 431953522578, which contains 22 as substring.

It is a d-powerful number, because it can be written as 4² + 6⁷ + 7² + 4⁵ + 3⁸ + 3¹¹ .

It is a Duffinian number.

464733 is a lucky number.

It is a nialpdrome in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 464697 and 464706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (464753) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 25810 + ... + 25827.

2⁴⁶⁴⁷³³ is an apocalyptic number.

It is an amenable number.

464733 is a deficient number, since it is larger than the sum of its proper divisors (206561).

464733 is a wasteful number, since it uses less digits than its factorization.

464733 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51643 (or 51640 counting only the distinct ones).

The product of its digits is 6048, while the sum is 27.

The square root of 464733 is about 681.7132828396. The cubic root of 464733 is about 77.4582779245.

It can be divided in two parts, 4647 and 33, that multiplied together give a palindrome (153351).

The spelling of 464733 in words is "four hundred sixty-four thousand, seven hundred thirty-three".