408605472 has 288 divisors, whose sum is σ = 1396833984. Its totient is φ = 116121600.

The previous prime is 408605471. The next prime is 408605551. The reversal of 408605472 is 274506804.

408605472 is a `hidden beast` number, since 4 + 0 + 8 + 605 + 47 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 (408605471) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1453972 + ... + 1454252.

It is an arithmetic number, because the mean of its divisors is an integer number (4850118).

Almost surely, 2^408605472 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 408605472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (698416992).

408605472 is an abundant number, since it is smaller than the sum of its proper divisors (988228512).

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

408605472 is a wasteful number, since it uses less digits than its factorization.

408605472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 408605472 is about 20213.9919857509. The cubic root of 408605472 is about 742.0526598343.

The spelling of 408605472 in words is "four hundred eight million, six hundred five thousand, four hundred seventy-two".