406660800 has 672 divisors, whose sum is σ = 1763776000. Its totient is φ = 81285120.

The previous prime is 406660729. The next prime is 406660829. The reversal of 406660800 is 8066604.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21403191 + ... + 21403209.

Almost surely, 2^406660800 is an apocalyptic number.

406660800 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 406660800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (881888000).

406660800 is an abundant number, since it is smaller than the sum of its proper divisors (1357115200).

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

406660800 is a wasteful number, since it uses less digits than its factorization.

406660800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 406660800 is about 20165.8324896345. The cubic root of 406660800 is about 740.8735726726.

The spelling of 406660800 in words is "four hundred six million, six hundred sixty thousand, eight hundred".