462429 has 24 divisors (see below), whose sum is σ = 760032. Its totient is φ = 278640.

The previous prime is 462421. The next prime is 462437. The reversal of 462429 is 924264.

It is an interprime number because it is at equal distance from previous prime (462421) and next prime (462437).

It is not a de Polignac number, because 462429 - 2³ = 462421 is a prime.

It is a super-3 number, since 3×462429³ = 296658256763338767, which contains 333 as substring.

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

462429 is a lucky number.

It is a nialpdrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (462421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2587 + ... + 2759.

It is an arithmetic number, because the mean of its divisors is an integer number (31668).

2⁴⁶²⁴²⁹ is an apocalyptic number.

It is an amenable number.

462429 is a deficient number, since it is larger than the sum of its proper divisors (297603).

462429 is a wasteful number, since it uses less digits than its factorization.

462429 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 187 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 462429 is about 680.0213231951. The cubic root of 462429 is about 77.3300612138.

The spelling of 462429 in words is "four hundred sixty-two thousand, four hundred twenty-nine".