405402912 has 72 divisors (see below), whose sum is σ = 1156562316. Its totient is φ = 134701056.

The previous prime is 405402911. The next prime is 405402913. The reversal of 405402912 is 219204504.

It is an interprime number because it is at equal distance from previous prime (405402911) and next prime (405402913).

It can be written as a sum of positive squares in 2 ways, for example, as 398241936 + 7160976 = 19956^2 + 2676^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (405402911) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 94968 + ... + 99144.

Almost surely, 2^405402912 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 405402912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578281158).

405402912 is an abundant number, since it is smaller than the sum of its proper divisors (751159404).

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

405402912 is a wasteful number, since it uses less digits than its factorization.

405402912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4530 (or 4519 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 405402912 is about 20134.6197381525. The cubic root of 405402912 is about 740.1088907206.

The spelling of 405402912 in words is "four hundred five million, four hundred two thousand, nine hundred twelve".