509432778 has 48 divisors (see below), whose sum is σ = 1179696960. Its totient is φ = 158318208.

The previous prime is 509432711. The next prime is 509432783. The reversal of 509432778 is 877234905.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24963 + ... + 40521.

It is an arithmetic number, because the mean of its divisors is an integer number (24577020).

Almost surely, 2^509432778 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 509432778, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589848480).

509432778 is an abundant number, since it is smaller than the sum of its proper divisors (670264182).

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

509432778 is a wasteful number, since it uses less digits than its factorization.

509432778 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15691 (or 15688 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 509432778 is about 22570.6175812715. The cubic root of 509432778 is about 798.6606641841.

The spelling of 509432778 in words is "five hundred nine million, four hundred thirty-two thousand, seven hundred seventy-eight".