406863475200 has 1920 divisors, whose sum is σ = 1948690275840. Its totient is φ = 80687923200.

The previous prime is 406863475189. The next prime is 406863475211. The reversal of 406863475200 is 2574368604.

406863475200 is a `hidden beast` number, since 4 + 0 + 6 + 8 + 634 + 7 + 5 + 2 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (406863475189) and next prime (406863475211).

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 534642820 + ... + 534643580.

It is an arithmetic number, because the mean of its divisors is an integer number (1014942852).

Almost surely, 2^406863475200 is an apocalyptic number.

406863475200 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 406863475200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (974345137920).

406863475200 is an abundant number, since it is smaller than the sum of its proper divisors (1541826800640).

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

406863475200 is a wasteful number, since it uses less digits than its factorization.

406863475200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 835 (or 808 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 406863475200 in words is "four hundred six billion, eight hundred sixty-three million, four hundred seventy-five thousand, two hundred".