24057420 has 96 divisors (see below), whose sum is σ = 72576000. Its totient is φ = 5935104.

The previous prime is 24057413. The next prime is 24057469. The reversal of 24057420 is 2475042.

It is a super-3 number, since 3×24057420³ (a number of 23 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53356 + ... + 53804.

It is an arithmetic number, because the mean of its divisors is an integer number (756000).

Almost surely, 2^24057420 is an apocalyptic number.

24057420 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 24057420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36288000).

24057420 is an abundant number, since it is smaller than the sum of its proper divisors (48518580).

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

24057420 is a wasteful number, since it uses less digits than its factorization.

24057420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 24.

The square root of 24057420 is about 4904.8363887086. The cubic root of 24057420 is about 288.6797696555.

The spelling of 24057420 in words is "twenty-four million, fifty-seven thousand, four hundred twenty".