508414320 has 120 divisors (see below), whose sum is σ = 1770730416. Its totient is φ = 135571968.

The previous prime is 508414307. The next prime is 508414349. The reversal of 508414320 is 23414805.

It is a tau number, because it is divible by the number of its divisors (120).

It is a hoax number, since the sum of its digits (27) 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 (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6364 + ... + 32516.

Almost surely, 2^508414320 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 508414320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (885365208).

508414320 is an abundant number, since it is smaller than the sum of its proper divisors (1262316096).

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

508414320 is a wasteful number, since it uses less digits than its factorization.

508414320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26181 (or 26163 counting only the distinct ones).

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

The square root of 508414320 is about 22548.0447045858. The cubic root of 508414320 is about 798.1280816518.

The spelling of 508414320 in words is "five hundred eight million, four hundred fourteen thousand, three hundred twenty".