406209024 has 120 divisors (see below), whose sum is σ = 1262713452. Its totient is φ = 124968960.

The previous prime is 406209019. The next prime is 406209029. The reversal of 406209024 is 420902604.

It is an interprime number because it is at equal distance from previous prime (406209019) and next prime (406209029).

It can be written as a sum of positive squares in 2 ways, for example, as 385415424 + 20793600 = 19632^2 + 4560^2 .

It is not an unprimeable number, because it can be changed into a prime (406209029) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 56514 + ... + 63294.

Almost surely, 2^406209024 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 406209024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (631356726).

406209024 is an abundant number, since it is smaller than the sum of its proper divisors (856504428).

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

406209024 is a wasteful number, since it uses less digits than its factorization.

406209024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6818 (or 6799 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 406209024 is about 20154.6278556564. The cubic root of 406209024 is about 740.5991154976.

The spelling of 406209024 in words is "four hundred six million, two hundred nine thousand, twenty-four".