462753 has 20 divisors (see below), whose sum is σ = 718740. Its totient is φ = 296352.

The previous prime is 462739. The next prime is 462773. The reversal of 462753 is 357264.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 374544 + 88209 = 612^2 + 297^2 .

It is not a de Polignac number, because 462753 - 2¹⁶ = 397217 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is a d-powerful number, because it can be written as 4² + 6⁷ + 7⁴ + 2⁷ + 5⁵ + 3¹¹ .

It is not an unprimeable number, because it can be changed into a prime (462713) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2251 + ... + 2447.

It is an arithmetic number, because the mean of its divisors is an integer number (35937).

2⁴⁶²⁷⁵³ is an apocalyptic number.

It is an amenable number.

462753 is a deficient number, since it is larger than the sum of its proper divisors (255987).

462753 is a wasteful number, since it uses less digits than its factorization.

462753 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 229 counting only the distinct ones).

The product of its digits is 5040, while the sum is 27.

The square root of 462753 is about 680.2595093051. The cubic root of 462753 is about 77.3481173842.

The spelling of 462753 in words is "four hundred sixty-two thousand, seven hundred fifty-three".