507491640 has 96 divisors (see below), whose sum is σ = 1654922880. Its totient is φ = 134873856.

The previous prime is 507491639. The next prime is 507491687. The reversal of 507491640 is 46194705.

507491640 is a `hidden beast` number, since 5 + 0 + 7 + 4 + 9 + 1 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 507491595 and 507491604.

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, 111897 + ... + 116343.

It is an arithmetic number, because the mean of its divisors is an integer number (17238780).

Almost surely, 2^507491640 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 507491640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (827461440).

507491640 is an abundant number, since it is smaller than the sum of its proper divisors (1147431240).

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

507491640 is a wasteful number, since it uses less digits than its factorization.

507491640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4781 (or 4774 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 507491640 is about 22527.5751025271. The cubic root of 507491640 is about 797.6449699278.

The spelling of 507491640 in words is "five hundred seven million, four hundred ninety-one thousand, six hundred forty".