408604036032 has 280 divisors, whose sum is σ = 1220338464576. Its totient is φ = 135181965312.

The previous prime is 408604036031. The next prime is 408604036091. The reversal of 408604036032 is 230630406804.

It is a happy number.

408604036032 is a `hidden beast` number, since 4 + 0 + 8 + 6 + 0 + 40 + 3 + 603 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (408604036031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 557440338 + ... + 557441070.

Almost surely, 2^408604036032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 408604036032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (610169232288).

408604036032 is an abundant number, since it is smaller than the sum of its proper divisors (811734428544).

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

408604036032 is a wasteful number, since it uses less digits than its factorization.

408604036032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1417 (or 1398 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 408604036032 in words is "four hundred eight billion, six hundred four million, thirty-six thousand, thirty-two".