406490400 has 504 divisors, whose sum is σ = 1613779524. Its totient is φ = 99532800.

The previous prime is 406490393. The next prime is 406490429. The reversal of 406490400 is 4094604.

It can be written as a sum of positive squares in 6 ways, for example, as 96589584 + 309900816 = 9828^2 + 17604^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 83 ways as a sum of consecutive naturals, for example, 9914380 + ... + 9914420.

Almost surely, 2^406490400 is an apocalyptic number.

406490400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 406490400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (806889762).

406490400 is an abundant number, since it is smaller than the sum of its proper divisors (1207289124).

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

406490400 is a wasteful number, since it uses less digits than its factorization.

406490400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 68 counting only the distinct ones).

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

The square root of 406490400 is about 20161.6070788020. The cubic root of 406490400 is about 740.7700773320.

The spelling of 406490400 in words is "four hundred six million, four hundred ninety thousand, four hundred".