406166400 has 240 divisors, whose sum is σ = 1499799840. Its totient is φ = 108241920.

The previous prime is 406166357. The next prime is 406166419. The reversal of 406166400 is 4661604.

406166400 is a `hidden beast` number, since 4 + 0 + 6 + 16 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×406166400² = 329942288977920000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 258417 + ... + 259983.

It is an arithmetic number, because the mean of its divisors is an integer number (6249166).

Almost surely, 2^406166400 is an apocalyptic number.

406166400 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 406166400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (749899920).

406166400 is an abundant number, since it is smaller than the sum of its proper divisors (1093633440).

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

406166400 is a wasteful number, since it uses less digits than its factorization.

406166400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1603 (or 1577 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 406166400 is about 20153.5704032809. The cubic root of 406166400 is about 740.5732106071.

The spelling of 406166400 in words is "four hundred six million, one hundred sixty-six thousand, four hundred".