406305503604 has 432 divisors, whose sum is σ = 1403879835904. Its totient is φ = 96402493440.

The previous prime is 406305503561. The next prime is 406305503623.

406305503604 is a `hidden beast` number, since 40 + 6 + 3 + 0 + 5 + 5 + 0 + 3 + 604 = 666.

406305503604 is nontrivially palindromic in base 10.

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 38445129 + ... + 38455695.

Almost surely, 2^406305503604 is an apocalyptic number.

406305503604 is a gapful number since it is divisible by the number (44) 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 406305503604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (701939917952).

406305503604 is an abundant number, since it is smaller than the sum of its proper divisors (997574332300).

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

406305503604 is a wasteful number, since it uses less digits than its factorization.

406305503604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10716 (or 10700 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

It can be divided in two parts, 406305 and 503604, that added together give a palindrome (909909).

The spelling of 406305503604 in words is "four hundred six billion, three hundred five million, five hundred three thousand, six hundred four".