24000420 has 96 divisors (see below), whose sum is σ = 72777600. Its totient is φ = 5889024.

The previous prime is 24000391. The next prime is 24000443. The reversal of 24000420 is 2400042.

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

It is a junction number, because it is equal to n+sod(n) for n = 24000396 and 24000405.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41896 + ... + 42464.

It is an arithmetic number, because the mean of its divisors is an integer number (758100).

Almost surely, 2^24000420 is an apocalyptic number.

24000420 is a gapful number since it is divisible by the number (20) 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 24000420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36388800).

24000420 is an abundant number, since it is smaller than the sum of its proper divisors (48777180).

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

24000420 is a wasteful number, since it uses less digits than its factorization.

24000420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 637 (or 635 counting only the distinct ones).

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

The square root of 24000420 is about 4899.0223514493. The cubic root of 24000420 is about 288.4515966762.

Adding to 24000420 its reverse (2400042), we get a palindrome (26400462).

The spelling of 24000420 in words is "twenty-four million, four hundred twenty", and thus it is an aban number.