406198800 has 420 divisors, whose sum is σ = 1680596800. Its totient is φ = 92378880.

The previous prime is 406198789. The next prime is 406198811. The reversal of 406198800 is 8891604.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (406198789) and next prime (406198811).

It is a tau number, because it is divible by the number of its divisors (420).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 2041101 + ... + 2041299.

Almost surely, 2^406198800 is an apocalyptic number.

406198800 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 406198800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (840298400).

406198800 is an abundant number, since it is smaller than the sum of its proper divisors (1274398000).

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

406198800 is a wasteful number, since it uses less digits than its factorization.

406198800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 406198800 is about 20154.3742150432. The cubic root of 406198800 is about 740.5929019898.

The spelling of 406198800 in words is "four hundred six million, one hundred ninety-eight thousand, eight hundred".