462408 has 16 divisors (see below), whose sum is σ = 1156080. Its totient is φ = 154128.

The previous prime is 462401. The next prime is 462409. The reversal of 462408 is 804264.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 19267 = 462408 / (4 + 6 + 2 + 4 + 0 + 8).

It is not an unprimeable number, because it can be changed into a prime (462401) by changing a digit.

462408 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9610 + ... + 9657.

It is an arithmetic number, because the mean of its divisors is an integer number (72255).

462408 is a Friedman number, since it can be written as 680^2+4+4, using all its digits and the basic arithmetic operations.

2⁴⁶²⁴⁰⁸ is an apocalyptic number.

It is an amenable number.

462408 is an abundant number, since it is smaller than the sum of its proper divisors (693672).

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

462408 is a wasteful number, since it uses less digits than its factorization.

462408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19276 (or 19272 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 462408 is about 680.0058823275. The cubic root of 462408 is about 77.3288906154.

The spelling of 462408 in words is "four hundred sixty-two thousand, four hundred eight".