406736967 has 64 divisors (see below), whose sum is σ = 696894464. Its totient is φ = 205286400.

The previous prime is 406736963. The next prime is 406736987. The reversal of 406736967 is 769637604.

It is not a de Polignac number, because 406736967 - 2² = 406736963 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406736963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 676467 + ... + 677067.

It is an arithmetic number, because the mean of its divisors is an integer number (10888976).

Almost surely, 2^406736967 is an apocalyptic number.

406736967 is a deficient number, since it is larger than the sum of its proper divisors (290157497).

406736967 is a wasteful number, since it uses less digits than its factorization.

406736967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 728.

The product of its (nonzero) digits is 1143072, while the sum is 48.

The square root of 406736967 is about 20167.7209173471. The cubic root of 406736967 is about 740.9198246469.

The spelling of 406736967 in words is "four hundred six million, seven hundred thirty-six thousand, nine hundred sixty-seven".