405111312 has 90 divisors (see below), whose sum is σ = 1196714142. Its totient is φ = 127913472.

The previous prime is 405111307. The next prime is 405111313. The reversal of 405111312 is 213111504.

It can be written as a sum of positive squares in only one way, i.e., 402564096 + 2547216 = 20064^2 + 1596^2 .

It is a super-2 number, since 2×405111312² = 328230350220722688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405111313) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 48088 + ... + 55880.

Almost surely, 2^405111312 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 405111312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (598357071).

405111312 is an abundant number, since it is smaller than the sum of its proper divisors (791602830).

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

405111312 is a wasteful number, since it uses less digits than its factorization.

405111312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7845 (or 7817 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 405111312 is about 20127.3771763735. The cubic root of 405111312 is about 739.9313985590.

Adding to 405111312 its reverse (213111504), we get a palindrome (618222816).

The spelling of 405111312 in words is "four hundred five million, one hundred eleven thousand, three hundred twelve".