507056640 has 160 divisors (see below), whose sum is σ = 1639287936. Its totient is φ = 133693440.

The previous prime is 507056623. The next prime is 507056647. The reversal of 507056640 is 46650705.

It is a tau number, because it is divible by the number of its divisors (160).

It is not an unprimeable number, because it can be changed into a prime (507056647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 790720 + ... + 791360.

Almost surely, 2^507056640 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 507056640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (819643968).

507056640 is an abundant number, since it is smaller than the sum of its proper divisors (1132231296).

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

507056640 is a wasteful number, since it uses less digits than its factorization.

507056640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 770 (or 754 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 33.

The square root of 507056640 is about 22517.9181986257. The cubic root of 507056640 is about 797.4170024637.

The spelling of 507056640 in words is "five hundred seven million, fifty-six thousand, six hundred forty".