504807690240 has 1248 divisors, whose sum is σ = 2158586680320. Its totient is φ = 111476736000.

The previous prime is 504807690229. The next prime is 504807690263. The reversal of 504807690240 is 42096708405.

It is a happy number.

504807690240 is a `hidden beast` number, since 504 + 80 + 7 + 69 + 0 + 2 + 4 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 839945940 + ... + 839946540.

Almost surely, 2^504807690240 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 504807690240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1079293340160).

504807690240 is an abundant number, since it is smaller than the sum of its proper divisors (1653778990080).

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

504807690240 is a wasteful number, since it uses less digits than its factorization.

504807690240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 684 (or 649 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 504807690240 in words is "five hundred four billion, eight hundred seven million, six hundred ninety thousand, two hundred forty".