406773900 has 180 divisors, whose sum is σ = 1420398672. Its totient is φ = 100103040.

The previous prime is 406773881. The next prime is 406773901. The reversal of 406773900 is 9377604.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (406773901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 103369 + ... + 107231.

Almost surely, 2^406773900 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 406773900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (710199336).

406773900 is an abundant number, since it is smaller than the sum of its proper divisors (1013624772).

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

406773900 is a wasteful number, since it uses less digits than its factorization.

406773900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3902 (or 3886 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 406773900 is about 20168.6365429099. The cubic root of 406773900 is about 740.9422499208.

The spelling of 406773900 in words is "four hundred six million, seven hundred seventy-three thousand, nine hundred".