42424800 has 144 divisors (see below), whose sum is σ = 150740352. Its totient is φ = 10278400.

The previous prime is 42424799. The next prime is 42424807. The reversal of 42424800 is 842424.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42424807) 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, 25597 + ... + 27203.

It is an arithmetic number, because the mean of its divisors is an integer number (1046808).

Almost surely, 2^42424800 is an apocalyptic number.

42424800 is a gapful number since it is divisible by the number (40) 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 42424800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75370176).

42424800 is an abundant number, since it is smaller than the sum of its proper divisors (108315552).

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

42424800 is a wasteful number, since it uses less digits than its factorization.

42424800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1641 (or 1628 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 42424800 is about 6513.4322749223. The cubic root of 42424800 is about 348.7706530593.

The spelling of 42424800 in words is "forty-two million, four hundred twenty-four thousand, eight hundred".