406409983200 has 2160 divisors, whose sum is σ = 1774786250160. Its totient is φ = 90057277440.

The previous prime is 406409983159. The next prime is 406409983211. The reversal of 406409983200 is 2389904604.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 6888304771 + ... + 6888304829.

It is an arithmetic number, because the mean of its divisors is an integer number (821660301).

Almost surely, 2^406409983200 is an apocalyptic number.

406409983200 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 406409983200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (887393125080).

406409983200 is an abundant number, since it is smaller than the sum of its proper divisors (1368376266960).

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

406409983200 is a wasteful number, since it uses less digits than its factorization.

406409983200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 406409983200 in words is "four hundred six billion, four hundred nine million, nine hundred eighty-three thousand, two hundred".