406310800 has 180 divisors, whose sum is σ = 1160395968. Its totient is φ = 133920000.

The previous prime is 406310797. The next prime is 406310803. The reversal of 406310800 is 8013604.

406310800 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (406310797) and next prime (406310803).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406310803) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2690725 + ... + 2690875.

Almost surely, 2^406310800 is an apocalyptic number.

406310800 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 406310800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580197984).

406310800 is an abundant number, since it is smaller than the sum of its proper divisors (754085168).

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

406310800 is a wasteful number, since it uses less digits than its factorization.

406310800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 406310800 is about 20157.1525766910. The cubic root of 406310800 is about 740.6609629021.

The spelling of 406310800 in words is "four hundred six million, three hundred ten thousand, eight hundred".