508902240 has 384 divisors, whose sum is σ = 2046643200. Its totient is φ = 105369600.

The previous prime is 508902223. The next prime is 508902241. The reversal of 508902240 is 42209805.

It is a hoax number, since the sum of its digits (30) 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 (30).

It is a junction number, because it is equal to n+sod(n) for n = 508902198 and 508902207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (508902241) 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, 1810900 + ... + 1811180.

It is an arithmetic number, because the mean of its divisors is an integer number (5329800).

Almost surely, 2^508902240 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 508902240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1023321600).

508902240 is an abundant number, since it is smaller than the sum of its proper divisors (1537740960).

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

508902240 is a wasteful number, since it uses less digits than its factorization.

508902240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 508902240 is about 22558.8616734090. The cubic root of 508902240 is about 798.3833184601.

The spelling of 508902240 in words is "five hundred eight million, nine hundred two thousand, two hundred forty".