507650976 has 240 divisors, whose sum is σ = 1744142400. Its totient is φ = 144789120.

The previous prime is 507650959. The next prime is 507650993. The reversal of 507650976 is 679056705.

It is a happy number.

507650976 is a `hidden beast` number, since 5 + 0 + 76 + 509 + 76 = 666.

It is an interprime number because it is at equal distance from previous prime (507650959) and next prime (507650993).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 888771 + ... + 889341.

It is an arithmetic number, because the mean of its divisors is an integer number (7267260).

Almost surely, 2^507650976 is an apocalyptic number.

507650976 is a gapful number since it is divisible by the number (56) 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 507650976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (872071200).

507650976 is an abundant number, since it is smaller than the sum of its proper divisors (1236491424).

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

507650976 is an equidigital number, since it uses as much as digits as its factorization.

507650976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614 (or 583 counting only the distinct ones).

The product of its (nonzero) digits is 396900, while the sum is 45.

The square root of 507650976 is about 22531.1112908352. Note that the first 3 decimals coincide. The cubic root of 507650976 is about 797.7284394540.

The spelling of 507650976 in words is "five hundred seven million, six hundred fifty thousand, nine hundred seventy-six".