509694416 has 40 divisors (see below), whose sum is σ = 1231212864. Its totient is φ = 198581760.

The previous prime is 509694373. The next prime is 509694463. The reversal of 509694416 is 614496905.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 205625 + ... + 208088.

Almost surely, 2^509694416 is an apocalyptic number.

509694416 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

509694416 is an abundant number, since it is smaller than the sum of its proper divisors (721518448).

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

509694416 is a wasteful number, since it uses less digits than its factorization.

509694416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413739 (or 413733 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 44.

The square root of 509694416 is about 22576.4128240073. The cubic root of 509694416 is about 798.7973680013.

The spelling of 509694416 in words is "five hundred nine million, six hundred ninety-four thousand, four hundred sixteen".