501459642 has 48 divisors (see below), whose sum is σ = 1163396520. Its totient is φ = 155544576.

The previous prime is 501459641. The next prime is 501459667. The reversal of 501459642 is 246954105.

501459642 is a `hidden beast` number, since 5 + 0 + 1 + 4 + 5 + 9 + 642 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 371294361 + 130165281 = 19269^2 + 11409^2 .

It is a junction number, because it is equal to n+sod(n) for n = 501459597 and 501459606.

It is not an unprimeable number, because it can be changed into a prime (501459641) 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, 18028 + ... + 36440.

Almost surely, 2^501459642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 501459642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581698260).

501459642 is an abundant number, since it is smaller than the sum of its proper divisors (661936878).

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

501459642 is a wasteful number, since it uses less digits than its factorization.

501459642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18527 (or 18524 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 501459642 is about 22393.2945767254. The cubic root of 501459642 is about 794.4721213839.

The spelling of 501459642 in words is "five hundred one million, four hundred fifty-nine thousand, six hundred forty-two".