409078215 has 192 divisors, whose sum is σ = 937681920. Its totient is φ = 167650560.

The previous prime is 409078213. The next prime is 409078217. The reversal of 409078215 is 512870904.

It is an interprime number because it is at equal distance from previous prime (409078213) and next prime (409078217).

It is not a de Polignac number, because 409078215 - 2¹ = 409078213 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 409078215.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (409078213) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5761630 + ... + 5761700.

It is an arithmetic number, because the mean of its divisors is an integer number (4883760).

Almost surely, 2^409078215 is an apocalyptic number.

409078215 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

409078215 is an abundant number, since it is smaller than the sum of its proper divisors (528603705).

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

409078215 is a wasteful number, since it uses less digits than its factorization.

409078215 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 409078215 is about 20225.6820651369. The cubic root of 409078215 is about 742.3387263242.

The spelling of 409078215 in words is "four hundred nine million, seventy-eight thousand, two hundred fifteen".