405465312 has 96 divisors (see below), whose sum is σ = 1224018432. Its totient is φ = 115121664.

The previous prime is 405465299. The next prime is 405465329. The reversal of 405465312 is 213564504.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 405465312.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 110418 + ... + 114030.

It is an arithmetic number, because the mean of its divisors is an integer number (12750192).

Almost surely, 2^405465312 is an apocalyptic number.

405465312 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 405465312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612009216).

405465312 is an abundant number, since it is smaller than the sum of its proper divisors (818553120).

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

405465312 is a wasteful number, since it uses less digits than its factorization.

405465312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3800 (or 3792 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 405465312 is about 20136.1692483948. The cubic root of 405465312 is about 740.1468615262.

The spelling of 405465312 in words is "four hundred five million, four hundred sixty-five thousand, three hundred twelve".