42400424 has 32 divisors (see below), whose sum is σ = 88374240. Its totient is φ = 18907200.

The previous prime is 42400411. The next prime is 42400427.

42400424 is nontrivially palindromic in base 10.

42400424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 42400396 and 42400405.

It is not an unprimeable number, because it can be changed into a prime (42400427) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 119 + ... + 9209.

It is an arithmetic number, because the mean of its divisors is an integer number (2761695).

Almost surely, 2^42400424 is an apocalyptic number.

42400424 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 42400424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44187120).

42400424 is an abundant number, since it is smaller than the sum of its proper divisors (45973816).

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

42400424 is a wasteful number, since it uses less digits than its factorization.

42400424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9161 (or 9157 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

The square root of 42400424 is about 6511.5607959997. The cubic root of 42400424 is about 348.7038425914.

It can be divided in two parts, 42400 and 424, that multiplied together give a square (17977600 = 4240²).

The spelling of 42400424 in words is "forty-two million, four hundred thousand, four hundred twenty-four".