406917315 has 72 divisors (see below), whose sum is σ = 847087488. Its totient is φ = 179988480.

The previous prime is 406917307. The next prime is 406917317. The reversal of 406917315 is 513719604.

It is not a de Polignac number, because 406917315 - 2³ = 406917307 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 406917315.

It is not an unprimeable number, because it can be changed into a prime (406917317) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 65379 + ... + 71331.

It is an arithmetic number, because the mean of its divisors is an integer number (11765104).

Almost surely, 2^406917315 is an apocalyptic number.

406917315 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

406917315 is an abundant number, since it is smaller than the sum of its proper divisors (440170173).

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

406917315 is a wasteful number, since it uses less digits than its factorization.

406917315 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6009 (or 5999 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 406917315 is about 20172.1916260975. The cubic root of 406917315 is about 741.0293169188.

The spelling of 406917315 in words is "four hundred six million, nine hundred seventeen thousand, three hundred fifteen".