508419072 has 352 divisors, whose sum is σ = 1792189440. Its totient is φ = 139345920.

The previous prime is 508419061. The next prime is 508419077. The reversal of 508419072 is 270914805.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (508419077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7160797 + ... + 7160867.

Almost surely, 2^508419072 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 508419072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (896094720).

508419072 is an abundant number, since it is smaller than the sum of its proper divisors (1283770368).

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

508419072 is a wasteful number, since it uses less digits than its factorization.

508419072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 508419072 is about 22548.1500793302. The cubic root of 508419072 is about 798.1305682673.

The spelling of 508419072 in words is "five hundred eight million, four hundred nineteen thousand, seventy-two".