406323993600 has 2376 divisors, whose sum is σ = 1853781017088. Its totient is φ = 87787929600.

The previous prime is 406323993599. The next prime is 406323993601. The reversal of 406323993600 is 6399323604.

406323993600 is a `hidden beast` number, since 4 + 0 + 6 + 3 + 2 + 39 + 9 + 3 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (406323993599) and next prime (406323993601).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406323993601) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 9449395179 + ... + 9449395221.

Almost surely, 2^406323993600 is an apocalyptic number.

406323993600 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 406323993600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (926890508544).

406323993600 is an abundant number, since it is smaller than the sum of its proper divisors (1447457023488).

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

406323993600 is a wasteful number, since it uses less digits than its factorization.

406323993600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 629856, while the sum is 45.

The spelling of 406323993600 in words is "four hundred six billion, three hundred twenty-three million, nine hundred ninety-three thousand, six hundred".