406438272 has 192 divisors, whose sum is σ = 1272960000. Its totient is φ = 124001280.

The previous prime is 406438271. The next prime is 406438273. The reversal of 406438272 is 272834604.

406438272 is a `hidden beast` number, since 4 + 0 + 643 + 8 + 2 + 7 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (406438271) and next prime (406438273).

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406438271) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 678229 + ... + 678827.

It is an arithmetic number, because the mean of its divisors is an integer number (6630000).

Almost surely, 2^406438272 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 406438272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636480000).

406438272 is an abundant number, since it is smaller than the sum of its proper divisors (866521728).

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

406438272 is a wasteful number, since it uses less digits than its factorization.

406438272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 669 (or 654 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 406438272 is about 20160.3142832645. The cubic root of 406438272 is about 740.7384107265.

The spelling of 406438272 in words is "four hundred six million, four hundred thirty-eight thousand, two hundred seventy-two".