406612000 has 48 divisors (see below), whose sum is σ = 999055512. Its totient is φ = 162643200.

The previous prime is 406611979. The next prime is 406612021. The reversal of 406612000 is 216604.

It is an interprime number because it is at equal distance from previous prime (406611979) and next prime (406612021).

It can be written as a sum of positive squares in 4 ways, for example, as 246741264 + 159870736 = 15708^2 + 12644^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46827 + ... + 54826.

Almost surely, 2^406612000 is an apocalyptic number.

406612000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

406612000 is an abundant number, since it is smaller than the sum of its proper divisors (592443512).

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

406612000 is a wasteful number, since it uses less digits than its factorization.

406612000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101678 (or 101660 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 406612000 is about 20164.6224859282. The cubic root of 406612000 is about 740.8439361166.

Adding to 406612000 its reverse (216604), we get a palindrome (406828604).

The spelling of 406612000 in words is "four hundred six million, six hundred twelve thousand".