465507 has 20 divisors (see below), whose sum is σ = 795696. Its totient is φ = 265680.

The previous prime is 465469. The next prime is 465523. The reversal of 465507 is 705564.

465507 is a `hidden beast` number, since 4 + 655 + 0 + 7 = 666.

It is not a de Polignac number, because 465507 - 2⁷ = 465379 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (465587) 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, 157 + ... + 977.

2⁴⁶⁵⁵⁰⁷ is an apocalyptic number.

465507 is a deficient number, since it is larger than the sum of its proper divisors (330189).

465507 is an equidigital number, since it uses as much as digits as its factorization.

465507 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 840 (or 831 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 465507 is about 682.2807340091. The cubic root of 465507 is about 77.5012556161.

The spelling of 465507 in words is "four hundred sixty-five thousand, five hundred seven".