406956971 has 8 divisors (see below), whose sum is σ = 421784400. Its totient is φ = 392182560.

The previous prime is 406956947. The next prime is 406956983. The reversal of 406956971 is 179659604.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 406956971 - 2²⁶ = 339848107 is a prime.

It is a super-2 number, since 2×406956971² = 331227952490989682, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (406956911) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2720 + ... + 28658.

It is an arithmetic number, because the mean of its divisors is an integer number (52723050).

Almost surely, 2^406956971 is an apocalyptic number.

406956971 is a deficient number, since it is larger than the sum of its proper divisors (14827429).

406956971 is a wasteful number, since it uses less digits than its factorization.

406956971 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26509.

The product of its (nonzero) digits is 408240, while the sum is 47.

The square root of 406956971 is about 20173.1745394720. The cubic root of 406956971 is about 741.0533883972.

The spelling of 406956971 in words is "four hundred six million, nine hundred fifty-six thousand, nine hundred seventy-one".