507754968 has 128 divisors (see below), whose sum is σ = 1518912000. Its totient is φ = 138378240.

The previous prime is 507754967. The next prime is 507754979. The reversal of 507754968 is 869457705.

It is a self number, because there is not a number n which added to its sum of digits gives 507754968.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (507754967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 433023 + ... + 434193.

It is an arithmetic number, because the mean of its divisors is an integer number (11866500).

Almost surely, 2^507754968 is an apocalyptic number.

507754968 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 507754968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (759456000).

507754968 is an abundant number, since it is smaller than the sum of its proper divisors (1011157032).

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

507754968 is a wasteful number, since it uses less digits than its factorization.

507754968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1305 (or 1301 counting only the distinct ones).

The product of its (nonzero) digits is 2116800, while the sum is 51.

The square root of 507754968 is about 22533.4189150249. The cubic root of 507754968 is about 797.7829071335.

The spelling of 507754968 in words is "five hundred seven million, seven hundred fifty-four thousand, nine hundred sixty-eight".