466405344 has 96 divisors (see below), whose sum is σ = 1367886240. Its totient is φ = 154607616.

The previous prime is 466405337. The next prime is 466405349. The reversal of 466405344 is 443504664.

466405344 is a `hidden beast` number, since 4 + 6 + 640 + 5 + 3 + 4 + 4 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 466405299 and 466405308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (466405349) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 165354 + ... + 168150.

It is an arithmetic number, because the mean of its divisors is an integer number (14248815).

Almost surely, 2^466405344 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 466405344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (683943120).

466405344 is an abundant number, since it is smaller than the sum of its proper divisors (901480896).

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

466405344 is a wasteful number, since it uses less digits than its factorization.

466405344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3009 (or 2995 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The square root of 466405344 is about 21596.4197032749. The cubic root of 466405344 is about 775.5107803162.

It can be divided in two parts, 46640 and 5344, that added together give a square (51984 = 228²).

The spelling of 466405344 in words is "four hundred sixty-six million, four hundred five thousand, three hundred forty-four".