506978415 has 12 divisors (see below), whose sum is σ = 878762664. Its totient is φ = 270388464.

The previous prime is 506978413. The next prime is 506978491. The reversal of 506978415 is 514879605.

It is not a de Polignac number, because 506978415 - 2¹ = 506978413 is a prime.

It is a super-2 number, since 2×506978415² = 514054226551824450, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 11266187 = 506978415 / (5 + 0 + 6 + 9 + 7 + 8 + 4 + 1 + 5).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506978413) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5633049 + ... + 5633138.

It is an arithmetic number, because the mean of its divisors is an integer number (73230222).

Almost surely, 2^506978415 is an apocalyptic number.

506978415 is a deficient number, since it is larger than the sum of its proper divisors (371784249).

506978415 is a wasteful number, since it uses less digits than its factorization.

506978415 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11266198 (or 11266195 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The square root of 506978415 is about 22516.1811815414. The cubic root of 506978415 is about 797.3759937952.

The spelling of 506978415 in words is "five hundred six million, nine hundred seventy-eight thousand, four hundred fifteen".