405602316 has 120 divisors (see below), whose sum is σ = 1240279040. Its totient is φ = 113164128.

The previous prime is 405602311. The next prime is 405602321. The reversal of 405602316 is 613206504.

405602316 is a `hidden beast` number, since 40 + 5 + 602 + 3 + 16 = 666.

It is an interprime number because it is at equal distance from previous prime (405602311) and next prime (405602321).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 405602316.

It is not an unprimeable number, because it can be changed into a prime (405602311) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 95445 + ... + 99603.

Almost surely, 2^405602316 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 405602316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620139520).

405602316 is an abundant number, since it is smaller than the sum of its proper divisors (834676724).

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

405602316 is a wasteful number, since it uses less digits than its factorization.

405602316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4225 (or 4214 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 405602316 is about 20139.5708991031. The cubic root of 405602316 is about 740.2302156863.

The spelling of 405602316 in words is "four hundred five million, six hundred two thousand, three hundred sixteen".