406030464 has 144 divisors (see below), whose sum is σ = 1359342270. Its totient is φ = 115992576.

The previous prime is 406030463. The next prime is 406030501. The reversal of 406030464 is 464030604.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 399680064 + 6350400 = 19992^2 + 2520^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (406030463) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 52852 + ... + 60044.

Almost surely, 2^406030464 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 406030464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (679671135).

406030464 is an abundant number, since it is smaller than the sum of its proper divisors (953311806).

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

406030464 is a wasteful number, since it uses less digits than its factorization.

406030464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7227 (or 7205 counting only the distinct ones).

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

The square root of 406030464 is about 20150.1976168970. The cubic root of 406030464 is about 740.4905829018.

The spelling of 406030464 in words is "four hundred six million, thirty thousand, four hundred sixty-four".