24400420 has 48 divisors (see below), whose sum is σ = 56282688. Its totient is φ = 8812160.

The previous prime is 24400403. The next prime is 24400421. The reversal of 24400420 is 2400442.

It is a junction number, because it is equal to n+sod(n) for n = 24400394 and 24400403.

It is not an unprimeable number, because it can be changed into a prime (24400421) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43059 + ... + 43621.

It is an arithmetic number, because the mean of its divisors is an integer number (1172556).

Almost surely, 2^24400420 is an apocalyptic number.

24400420 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 24400420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28141344).

24400420 is an abundant number, since it is smaller than the sum of its proper divisors (31882268).

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

24400420 is a wasteful number, since it uses less digits than its factorization.

24400420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 780 (or 778 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 24400420 is about 4939.6781271658. The cubic root of 24400420 is about 290.0452565121.

Adding to 24400420 its reverse (2400442), we get a palindrome (26800862).

The spelling of 24400420 in words is "twenty-four million, four hundred thousand, four hundred twenty".