506406640 has 80 divisors (see below), whose sum is σ = 1237117248. Its totient is φ = 192411648.

The previous prime is 506406629. The next prime is 506406647. The reversal of 506406640 is 46604605.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506406647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 288004 + ... + 289756.

Almost surely, 2^506406640 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 506406640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618558624).

506406640 is an abundant number, since it is smaller than the sum of its proper divisors (730710608).

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

506406640 is a wasteful number, since it uses less digits than its factorization.

506406640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1946 (or 1940 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

The square root of 506406640 is about 22503.4806196730. The cubic root of 506406640 is about 797.0761183307.

The spelling of 506406640 in words is "five hundred six million, four hundred six thousand, six hundred forty".