406665600 has 192 divisors, whose sum is σ = 1461602880. Its totient is φ = 98560000.

The previous prime is 406665587. The next prime is 406665601. The reversal of 406665600 is 6566604.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406665601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 103675 + ... + 107525.

It is an arithmetic number, because the mean of its divisors is an integer number (7612515).

Almost surely, 2^406665600 is an apocalyptic number.

406665600 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 406665600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (730801440).

406665600 is an abundant number, since it is smaller than the sum of its proper divisors (1054937280).

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

406665600 is a wasteful number, since it uses less digits than its factorization.

406665600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3889 (or 3872 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 406665600 is about 20165.9515024707. The cubic root of 406665600 is about 740.8764876156.

The spelling of 406665600 in words is "four hundred six million, six hundred sixty-five thousand, six hundred".