420024 has 64 divisors (see below), whose sum is σ = 1203840. Its totient is φ = 120960.

The previous prime is 420001. The next prime is 420029.

420024 is nontrivially palindromic in base 10 and base 14.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 419991 and 420009.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420029) by changing a digit.

420024 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 15 ways as a sum of consecutive naturals, for example, 9747 + ... + 9789.

It is an arithmetic number, because the mean of its divisors is an integer number (18810).

2⁴²⁰⁰²⁴ is an apocalyptic number.

420024 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601920).

420024 is an abundant number, since it is smaller than the sum of its proper divisors (783816).

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

420024 is a wasteful number, since it uses less digits than its factorization.

420024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 420024 is about 648.0925859783. The cubic root of 420024 is about 74.8901502969.

It can be divided in two parts, 4200 and 24, that added together give a palindrome (4224).

The spelling of 420024 in words is "four hundred twenty thousand, twenty-four", and thus it is an iban number.