501867408 has 240 divisors, whose sum is σ = 1590017280. Its totient is φ = 135862272.

The previous prime is 501867407. The next prime is 501867409. The reversal of 501867408 is 804768105.

It is an interprime number because it is at equal distance from previous prime (501867407) and next prime (501867409).

It is not an unprimeable number, because it can be changed into a prime (501867403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6352713 + ... + 6352791.

It is an arithmetic number, because the mean of its divisors is an integer number (6625072).

Almost surely, 2^501867408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 501867408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (795008640).

501867408 is an abundant number, since it is smaller than the sum of its proper divisors (1088149872).

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

501867408 is a wasteful number, since it uses less digits than its factorization.

501867408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 39.

The square root of 501867408 is about 22402.3973717100. The cubic root of 501867408 is about 794.6874068703.

The spelling of 501867408 in words is "five hundred one million, eight hundred sixty-seven thousand, four hundred eight".