500901408 has 240 divisors, whose sum is σ = 1773414720. Its totient is φ = 135489024.

The previous prime is 500901407. The next prime is 500901421. The reversal of 500901408 is 804109005.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (500901407) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 344010 + ... + 345462.

It is an arithmetic number, because the mean of its divisors is an integer number (7389228).

Almost surely, 2^500901408 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 500901408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (886707360).

500901408 is an abundant number, since it is smaller than the sum of its proper divisors (1272513312).

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

500901408 is a wasteful number, since it uses less digits than its factorization.

500901408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1501 (or 1484 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 500901408 is about 22380.8267943792. The cubic root of 500901408 is about 794.1772049797.

The spelling of 500901408 in words is "five hundred million, nine hundred one thousand, four hundred eight".