508400640 has 528 divisors, whose sum is σ = 2069271360. Its totient is φ = 114032640.

The previous prime is 508400621. The next prime is 508400677. The reversal of 508400640 is 46004805.

508400640 = 82³ + 83³ + ... + 213³.

It is a tau number, because it is divible by the number of its divisors (528).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8616931 + ... + 8616989.

Almost surely, 2^508400640 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 508400640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1034635680).

508400640 is an abundant number, since it is smaller than the sum of its proper divisors (1560870720).

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

508400640 is a wasteful number, since it uses less digits than its factorization.

508400640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 97 counting only the distinct ones).

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

The square root of 508400640 is about 22547.7413502994. The cubic root of 508400640 is about 798.1209231266.

The spelling of 508400640 in words is "five hundred eight million, four hundred thousand, six hundred forty".