406156800 has 240 divisors, whose sum is σ = 1534401792. Its totient is φ = 92774400.

The previous prime is 406156769. The next prime is 406156819. The reversal of 406156800 is 8651604.

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

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

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 268045 + ... + 269555.

Almost surely, 2^406156800 is an apocalyptic number.

406156800 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 406156800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (767200896).

406156800 is an abundant number, since it is smaller than the sum of its proper divisors (1128244992).

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

406156800 is a wasteful number, since it uses less digits than its factorization.

406156800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1549 (or 1528 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 406156800 is about 20153.3322306759. The cubic root of 406156800 is about 740.5673759223.

The spelling of 406156800 in words is "four hundred six million, one hundred fifty-six thousand, eight hundred".