406291864 has 72 divisors (see below), whose sum is σ = 861049980. Its totient is φ = 179588640.

The previous prime is 406291861. The next prime is 406291909. The reversal of 406291864 is 468192604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406291861) 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 17 ways as a sum of consecutive naturals, for example, 1789719 + ... + 1789945.

Almost surely, 2^406291864 is an apocalyptic number.

406291864 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 406291864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430524990).

406291864 is an abundant number, since it is smaller than the sum of its proper divisors (454758116).

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

406291864 is a wasteful number, since it uses less digits than its factorization.

406291864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 40.

The square root of 406291864 is about 20156.6828620187. The cubic root of 406291864 is about 740.6494566250.

The spelling of 406291864 in words is "four hundred six million, two hundred ninety-one thousand, eight hundred sixty-four".