406360800 has 180 divisors, whose sum is σ = 1482155136. Its totient is φ = 108345600.

The previous prime is 406360727. The next prime is 406360807. The reversal of 406360800 is 8063604.

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406360807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 61665 + ... + 67935.

Almost surely, 2^406360800 is an apocalyptic number.

406360800 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 406360800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (741077568).

406360800 is an abundant number, since it is smaller than the sum of its proper divisors (1075794336).

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

406360800 is a wasteful number, since it uses less digits than its factorization.

406360800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6303 (or 6281 counting only the distinct ones).

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

The square root of 406360800 is about 20158.3927930775. The cubic root of 406360800 is about 740.6913431997.

The spelling of 406360800 in words is "four hundred six million, three hundred sixty thousand, eight hundred".