406200960 has 256 divisors, whose sum is σ = 1570147200. Its totient is φ = 98426880.

The previous prime is 406200959. The next prime is 406200973. The reversal of 406200960 is 69002604.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 189012 + ... + 191148.

Almost surely, 2^406200960 is an apocalyptic number.

406200960 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 406200960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (785073600).

406200960 is an abundant number, since it is smaller than the sum of its proper divisors (1163946240).

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

406200960 is a wasteful number, since it uses less digits than its factorization.

406200960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2176 (or 2158 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 406200960 is about 20154.4278013542. The cubic root of 406200960 is about 740.5942147114.

The spelling of 406200960 in words is "four hundred six million, two hundred thousand, nine hundred sixty".