406264320 has 480 divisors, whose sum is σ = 1761851520. Its totient is φ = 84049920.

The previous prime is 406264291. The next prime is 406264337. The reversal of 406264320 is 23462604.

406264320 is a `hidden beast` number, since 4 + 0 + 626 + 4 + 32 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1773966 + ... + 1774194.

It is an arithmetic number, because the mean of its divisors is an integer number (3670524).

Almost surely, 2^406264320 is an apocalyptic number.

406264320 is a gapful number since it is divisible by the number (40) 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 406264320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (880925760).

406264320 is an abundant number, since it is smaller than the sum of its proper divisors (1355587200).

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

406264320 is a wasteful number, since it uses less digits than its factorization.

406264320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 406264320 is about 20155.9996030958. Note that the first 3 decimals coincide. The cubic root of 406264320 is about 740.6327191419.

The spelling of 406264320 in words is "four hundred six million, two hundred sixty-four thousand, three hundred twenty".