508974144 has 112 divisors (see below), whose sum is σ = 1575011328. Its totient is φ = 142023168.

The previous prime is 508974121. The next prime is 508974163. The reversal of 508974144 is 441479805.

It is a tau number, because it is divible by the number of its divisors (112).

It is a hoax number, since the sum of its digits (42) 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 (42).

It is a junction number, because it is equal to n+sod(n) for n = 508974096 and 508974105.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53389 + ... + 62195.

Almost surely, 2^508974144 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 508974144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (787505664).

508974144 is an abundant number, since it is smaller than the sum of its proper divisors (1066037184).

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

508974144 is a wasteful number, since it uses less digits than its factorization.

508974144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8872 (or 8862 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The square root of 508974144 is about 22560.4553145543. The cubic root of 508974144 is about 798.4209185111.

The spelling of 508974144 in words is "five hundred eight million, nine hundred seventy-four thousand, one hundred forty-four".