507489840 has 640 divisors, whose sum is σ = 2159861760. Its totient is φ = 107827200.

The previous prime is 507489839. The next prime is 507489901. The reversal of 507489840 is 48984705.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9575254 + ... + 9575306.

It is an arithmetic number, because the mean of its divisors is an integer number (3374784).

Almost surely, 2^507489840 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 507489840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1079930880).

507489840 is an abundant number, since it is smaller than the sum of its proper divisors (1652371920).

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

507489840 is a wasteful number, since it uses less digits than its factorization.

507489840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 118 counting only the distinct ones).

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

The square root of 507489840 is about 22527.5351514541. The cubic root of 507489840 is about 797.6440268827.

The spelling of 507489840 in words is "five hundred seven million, four hundred eighty-nine thousand, eight hundred forty".