406552608 has 432 divisors, whose sum is σ = 1537177824. Its totient is φ = 104509440.

The previous prime is 406552591. The next prime is 406552667. The reversal of 406552608 is 806255604.

406552608 is a `hidden beast` number, since 40 + 6 + 5 + 5 + 2 + 608 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4191216 + ... + 4191312.

It is an arithmetic number, because the mean of its divisors is an integer number (3558282).

Almost surely, 2^406552608 is an apocalyptic number.

406552608 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 406552608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (768588912).

406552608 is an abundant number, since it is smaller than the sum of its proper divisors (1130625216).

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

406552608 is a wasteful number, since it uses less digits than its factorization.

406552608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 406552608 is about 20163.1497539447. The cubic root of 406552608 is about 740.8078637712.

406552608 divided by its sum of digits (36) gives a triangular number (11293128 = T₄₇₅₂).

The spelling of 406552608 in words is "four hundred six million, five hundred fifty-two thousand, six hundred eight".