406299385800 has 2880 divisors, whose sum is σ = 1970445312000. Its totient is φ = 76422528000.

The previous prime is 406299385777. The next prime is 406299385813. The reversal of 406299385800 is 8583992604.

406299385800 is a `hidden beast` number, since 4 + 0 + 6 + 29 + 9 + 38 + 580 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 5143030161 + ... + 5143030239.

It is an arithmetic number, because the mean of its divisors is an integer number (684182400).

Almost surely, 2^406299385800 is an apocalyptic number.

406299385800 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 406299385800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (985222656000).

406299385800 is an abundant number, since it is smaller than the sum of its proper divisors (1564145926200).

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

406299385800 is a wasteful number, since it uses less digits than its factorization.

406299385800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 406299385800 in words is "four hundred six billion, two hundred ninety-nine million, three hundred eighty-five thousand, eight hundred".