406474900 has 36 divisors (see below), whose sum is σ = 949903612. Its totient is φ = 150082560.

The previous prime is 406474897. The next prime is 406474907. The reversal of 406474900 is 9474604.

It can be written as a sum of positive squares in 6 ways, for example, as 78357904 + 328116996 = 8852^2 + 18114^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406474907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 155037 + ... + 157636.

Almost surely, 2^406474900 is an apocalyptic number.

It is an amenable number.

406474900 is an abundant number, since it is smaller than the sum of its proper divisors (543428712).

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

406474900 is a wasteful number, since it uses less digits than its factorization.

406474900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312700 (or 312693 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 34.

The square root of 406474900 is about 20161.2226811769. Note that the first 3 decimals coincide. The cubic root of 406474900 is about 740.7606617081.

The spelling of 406474900 in words is "four hundred six million, four hundred seventy-four thousand, nine hundred".