405083616 has 192 divisors, whose sum is σ = 1310722560. Its totient is φ = 106905600.

The previous prime is 405083597. The next prime is 405083617. The reversal of 405083616 is 616380504.

It is a super-4 number, since 4×405083616⁴ (a number of 36 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405083617) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 673716 + ... + 674316.

It is an arithmetic number, because the mean of its divisors is an integer number (6826680).

Almost surely, 2^405083616 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 405083616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655361280).

405083616 is an abundant number, since it is smaller than the sum of its proper divisors (905638944).

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

405083616 is a wasteful number, since it uses less digits than its factorization.

405083616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 697 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 405083616 is about 20126.6891465040. The cubic root of 405083616 is about 739.9145360272.

The spelling of 405083616 in words is "four hundred five million, eighty-three thousand, six hundred sixteen".