406966608 has 120 divisors (see below), whose sum is σ = 1173639168. Its totient is φ = 131579136.

The previous prime is 406966607. The next prime is 406966613. The reversal of 406966608 is 806669604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406966607) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1062385 + ... + 1062767.

Almost surely, 2^406966608 is an apocalyptic number.

406966608 is a gapful number since it is divisible by the number (48) 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 406966608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (586819584).

406966608 is an abundant number, since it is smaller than the sum of its proper divisors (766672560).

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

406966608 is a wasteful number, since it uses less digits than its factorization.

406966608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 601 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 406966608 is about 20173.4133948621. The cubic root of 406966608 is about 741.0592378896.

The spelling of 406966608 in words is "four hundred six million, nine hundred sixty-six thousand, six hundred eight".