508479840 has 288 divisors, whose sum is σ = 1936037376. Its totient is φ = 120468480.

The previous prime is 508479833. The next prime is 508479841. The reversal of 508479840 is 48974805.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (508479841) 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, 744139 + ... + 744821.

It is an arithmetic number, because the mean of its divisors is an integer number (6722352).

Almost surely, 2^508479840 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 508479840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (968018688).

508479840 is an abundant number, since it is smaller than the sum of its proper divisors (1427557536).

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

508479840 is a wasteful number, since it uses less digits than its factorization.

508479840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 762 (or 751 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 508479840 is about 22549.4975553780. The cubic root of 508479840 is about 798.1623654394.

The spelling of 508479840 in words is "five hundred eight million, four hundred seventy-nine thousand, eight hundred forty".