406736667 has 32 divisors (see below), whose sum is σ = 638092800. Its totient is φ = 255345696.

The previous prime is 406736663. The next prime is 406736689. The reversal of 406736667 is 766637604.

It is not a de Polignac number, because 406736667 - 2² = 406736663 is a prime.

It is not an unprimeable number, because it can be changed into a prime (406736663) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 86458 + ... + 91040.

It is an arithmetic number, because the mean of its divisors is an integer number (19940400).

Almost surely, 2^406736667 is an apocalyptic number.

406736667 is a deficient number, since it is larger than the sum of its proper divisors (231356133).

406736667 is a wasteful number, since it uses less digits than its factorization.

406736667 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4784 (or 4778 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 45.

The square root of 406736667 is about 20167.7134797180. The cubic root of 406736667 is about 740.9196424850.

The spelling of 406736667 in words is "four hundred six million, seven hundred thirty-six thousand, six hundred sixty-seven".