507255840 has 576 divisors, whose sum is σ = 2201472000. Its totient is φ = 105670656.

The previous prime is 507255817. The next prime is 507255851. The reversal of 507255840 is 48552705.

It is a happy number.

507255840 is a `hidden beast` number, since 5 + 0 + 72 + 5 + 584 + 0 = 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 = 507255795 and 507255804.

It is a congruent number.

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, 6420921 + ... + 6420999.

It is an arithmetic number, because the mean of its divisors is an integer number (3822000).

Almost surely, 2^507255840 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 507255840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1100736000).

507255840 is an abundant number, since it is smaller than the sum of its proper divisors (1694216160).

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

507255840 is a wasteful number, since it uses less digits than its factorization.

507255840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 56000, while the sum is 36.

The square root of 507255840 is about 22522.3409085290. The cubic root of 507255840 is about 797.5214120160.

It can be divided in two parts, 50725 and 5840, that added together give a palindrome (56565).

The spelling of 507255840 in words is "five hundred seven million, two hundred fifty-five thousand, eight hundred forty".