406438608 has 80 divisors (see below), whose sum is σ = 1076566016. Its totient is φ = 132088320.

The previous prime is 406438607. The next prime is 406438621. The reversal of 406438608 is 806834604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406438607) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 371310 + ... + 372402.

Almost surely, 2^406438608 is an apocalyptic number.

406438608 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 406438608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538283008).

406438608 is an abundant number, since it is smaller than the sum of its proper divisors (670127408).

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

406438608 is a wasteful number, since it uses less digits than its factorization.

406438608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1292 (or 1286 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The square root of 406438608 is about 20160.3226164662. The cubic root of 406438608 is about 740.7386148477.

The spelling of 406438608 in words is "four hundred six million, four hundred thirty-eight thousand, six hundred eight".