501438042 has 72 divisors (see below), whose sum is σ = 1298160864. Its totient is φ = 137020752.

The previous prime is 501438029. The next prime is 501438053. The reversal of 501438042 is 240834105.

501438042 is a `hidden beast` number, since 501 + 43 + 80 + 42 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 501437997 and 501438015.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 62893 + ... + 70415.

It is an arithmetic number, because the mean of its divisors is an integer number (18030012).

Almost surely, 2^501438042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 501438042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (649080432).

501438042 is an abundant number, since it is smaller than the sum of its proper divisors (796722822).

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

501438042 is a wasteful number, since it uses less digits than its factorization.

501438042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7584 (or 7558 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 501438042 is about 22392.8122843023. The cubic root of 501438042 is about 794.4607141221.

It can be divided in two parts, 50143 and 8042, that added together give a palindrome (58185).

The spelling of 501438042 in words is "five hundred one million, four hundred thirty-eight thousand, forty-two".