462385 has 16 divisors (see below), whose sum is σ = 692352. Its totient is φ = 288000.

The previous prime is 462377. The next prime is 462401. The reversal of 462385 is 583264.

462385 = 200² + 201² + ... + 210².

462385 is nontrivially palindromic in base 8.

It is not a de Polignac number, because 462385 - 2³ = 462377 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 216 + ... + 985.

It is an arithmetic number, because the mean of its divisors is an integer number (43272).

2⁴⁶²³⁸⁵ is an apocalyptic number.

It is an amenable number.

462385 is a deficient number, since it is larger than the sum of its proper divisors (229967).

462385 is a wasteful number, since it uses less digits than its factorization.

462385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1224.

The product of its digits is 5760, while the sum is 28.

The square root of 462385 is about 679.9889704988. The cubic root of 462385 is about 77.3276084909.

The spelling of 462385 in words is "four hundred sixty-two thousand, three hundred eighty-five".