409216608 has 36 divisors (see below), whose sum is σ = 1163710548. Its totient is φ = 136405440.

The previous prime is 409216607. The next prime is 409216649. The reversal of 409216608 is 806612904.

409216608 is a `hidden beast` number, since 40 + 9 + 2 + 1 + 6 + 608 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (409216607) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 710158 + ... + 710733.

It is an arithmetic number, because the mean of its divisors is an integer number (32325293).

Almost surely, 2^409216608 is an apocalyptic number.

409216608 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

409216608 is an abundant number, since it is smaller than the sum of its proper divisors (754493940).

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

409216608 is a wasteful number, since it uses less digits than its factorization.

409216608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1420907 (or 1420896 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 409216608 is about 20229.1029954370. The cubic root of 409216608 is about 742.4224290625.

The spelling of 409216608 in words is "four hundred nine million, two hundred sixteen thousand, six hundred eight".