406089450 has 168 divisors, whose sum is σ = 1221007788. Its totient is φ = 99843840.

The previous prime is 406089427. The next prime is 406089499. The reversal of 406089450 is 54980604.

406089450 is a `hidden beast` number, since 4 + 0 + 608 + 9 + 45 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 170067681 + 236021769 = 13041^2 + 15363^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 473422 + ... + 474278.

Almost surely, 2^406089450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 406089450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (610503894).

406089450 is an abundant number, since it is smaller than the sum of its proper divisors (814918338).

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

406089450 is a wasteful number, since it uses less digits than its factorization.

406089450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 900 (or 880 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 406089450 is about 20151.6612218447. The cubic root of 406089450 is about 740.5264393760.

The spelling of 406089450 in words is "four hundred six million, eighty-nine thousand, four hundred fifty".