408364416 has 192 divisors, whose sum is σ = 1284628800. Its totient is φ = 128770560.

The previous prime is 408364391. The next prime is 408364423. The reversal of 408364416 is 614463804.

408364416 is a `hidden beast` number, since 4 + 0 + 8 + 3 + 644 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×408364416² = 333522992510042112, which contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 590631 + ... + 591321.

It is an arithmetic number, because the mean of its divisors is an integer number (6690775).

Almost surely, 2^408364416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 408364416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (642314400).

408364416 is an abundant number, since it is smaller than the sum of its proper divisors (876264384).

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

408364416 is an equidigital number, since it uses as much as digits as its factorization.

408364416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 739 (or 715 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 408364416 is about 20208.0285035428. The cubic root of 408364416 is about 741.9067069566.

The spelling of 408364416 in words is "four hundred eight million, three hundred sixty-four thousand, four hundred sixteen".