405398304 has 96 divisors (see below), whose sum is σ = 1185891840. Its totient is φ = 134735616.

The previous prime is 405398267. The next prime is 405398321. The reversal of 405398304 is 403893504.

405398304 is a `hidden beast` number, since 40 + 539 + 83 + 0 + 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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 524062 + ... + 524834.

It is an arithmetic number, because the mean of its divisors is an integer number (12353040).

Almost surely, 2^405398304 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 405398304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592945920).

405398304 is an abundant number, since it is smaller than the sum of its proper divisors (780493536).

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

405398304 is a wasteful number, since it uses less digits than its factorization.

405398304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1399 (or 1385 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 405398304 is about 20134.5053080526. The cubic root of 405398304 is about 740.1060865681.

The spelling of 405398304 in words is "four hundred five million, three hundred ninety-eight thousand, three hundred four".