406262304 has 120 divisors (see below), whose sum is σ = 1365553728. Its totient is φ = 116069760.

The previous prime is 406262303. The next prime is 406262321. The reversal of 406262304 is 403262604.

406262304 is a `hidden beast` number, since 4 + 0 + 626 + 2 + 30 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (406262303) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6949 + ... + 29339.

Almost surely, 2^406262304 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 406262304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (682776864).

406262304 is an abundant number, since it is smaller than the sum of its proper divisors (959291424).

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

406262304 is a wasteful number, since it uses less digits than its factorization.

406262304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22420 (or 22403 counting only the distinct ones).

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

The square root of 406262304 is about 20155.9495931102. The cubic root of 406262304 is about 740.6314940626.

It can be divided in two parts, 4062 and 62304, that added together give a palindrome (66366).

The spelling of 406262304 in words is "four hundred six million, two hundred sixty-two thousand, three hundred four".