508461840 has 320 divisors, whose sum is σ = 1893093120. Its totient is φ = 124968960.

The previous prime is 508461827. The next prime is 508461841. The reversal of 508461840 is 48164805.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 508461795 and 508461804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (508461841) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2239807 + ... + 2240033.

It is an arithmetic number, because the mean of its divisors is an integer number (5915916).

Almost surely, 2^508461840 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 508461840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (946546560).

508461840 is an abundant number, since it is smaller than the sum of its proper divisors (1384631280).

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

508461840 is a wasteful number, since it uses less digits than its factorization.

508461840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 508461840 is about 22549.0984298708. The cubic root of 508461840 is about 798.1529471098.

The spelling of 508461840 in words is "five hundred eight million, four hundred sixty-one thousand, eight hundred forty".