406660400 has 120 divisors (see below), whose sum is σ = 1048950720. Its totient is φ = 150958080.

The previous prime is 406660399. The next prime is 406660433. The reversal of 406660400 is 4066604.

It is a self number, because there is not a number n which added to its sum of digits gives 406660400.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 536822 + ... + 537578.

It is an arithmetic number, because the mean of its divisors is an integer number (8741256).

Almost surely, 2^406660400 is an apocalyptic number.

406660400 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 406660400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524475360).

406660400 is an abundant number, since it is smaller than the sum of its proper divisors (642290320).

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

406660400 is a wasteful number, since it uses less digits than its factorization.

406660400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 871 (or 860 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The square root of 406660400 is about 20165.8225718665. The cubic root of 406660400 is about 740.8733297596.

406660400 divided by its reverse (4066604) gives a square (100 = 10²).

The spelling of 406660400 in words is "four hundred six million, six hundred sixty thousand, four hundred".