509878440 has 48 divisors (see below), whose sum is σ = 1657106100. Its totient is φ = 135967488.

The previous prime is 509878429. The next prime is 509878451. The reversal of 509878440 is 44878905.

509878440 is a `hidden beast` number, since 50 + 98 + 78 + 440 = 666.

It is an interprime number because it is at equal distance from previous prime (509878429) and next prime (509878451).

It can be written as a sum of positive squares in 2 ways, for example, as 411035076 + 98843364 = 20274^2 + 9942^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

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 11 ways as a sum of consecutive naturals, for example, 707805 + ... + 708524.

Almost surely, 2^509878440 is an apocalyptic number.

It is an amenable number.

509878440 is an abundant number, since it is smaller than the sum of its proper divisors (1147227660).

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

509878440 is a wasteful number, since it uses less digits than its factorization.

509878440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1416346 (or 1416339 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 509878440 is about 22580.4880372414. The cubic root of 509878440 is about 798.8934910865.

It can be divided in two parts, 5098 and 78440, that added together give a palindrome (83538).

The spelling of 509878440 in words is "five hundred nine million, eight hundred seventy-eight thousand, four hundred forty".