462420 has 72 divisors (see below), whose sum is σ = 1607424. Its totient is φ = 105408.

The previous prime is 462419. The next prime is 462421. The reversal of 462420 is 24264.

462420 = T₃₃₆ + T₃₃₇ + ... + T₃₄₃.

It is an interprime number because it is at equal distance from previous prime (462419) and next prime (462421).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 462393 and 462402.

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1077 + ... + 1443.

2⁴⁶²⁴²⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 462420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (803712).

462420 is an abundant number, since it is smaller than the sum of its proper divisors (1145004).

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

462420 is a wasteful number, since it uses less digits than its factorization.

462420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 462420 is about 680.0147057233. The cubic root of 462420 is about 77.3295595331.

Adding to 462420 its reverse (24264), we get a palindrome (486684).

The spelling of 462420 in words is "four hundred sixty-two thousand, four hundred twenty".