507967488 has 288 divisors, whose sum is σ = 1744404480. Its totient is φ = 139345920.

The previous prime is 507967483. The next prime is 507967511. The reversal of 507967488 is 884769705.

507967488 is a `hidden beast` number, since 507 + 96 + 7 + 48 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (507967483) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3999681 + ... + 3999807.

It is an arithmetic number, because the mean of its divisors is an integer number (6056960).

Almost surely, 2^507967488 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 507967488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (872202240).

507967488 is an abundant number, since it is smaller than the sum of its proper divisors (1236436992).

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

507967488 is a wasteful number, since it uses less digits than its factorization.

507967488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The square root of 507967488 is about 22538.1340842582. The cubic root of 507967488 is about 797.8941951795.

The spelling of 507967488 in words is "five hundred seven million, nine hundred sixty-seven thousand, four hundred eighty-eight".