405688032 has 72 divisors (see below), whose sum is σ = 1155654864. Its totient is φ = 134997504.

The previous prime is 405688021. The next prime is 405688033. The reversal of 405688032 is 230886504.

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (405688033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 282388 + ... + 283820.

It is an arithmetic number, because the mean of its divisors is an integer number (16050762).

Almost surely, 2^405688032 is an apocalyptic number.

It is an amenable number.

405688032 is an abundant number, since it is smaller than the sum of its proper divisors (749966832).

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

405688032 is a wasteful number, since it uses less digits than its factorization.

405688032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2432 (or 2421 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 405688032 is about 20141.6988359969. The cubic root of 405688032 is about 740.2823563354.

The spelling of 405688032 in words is "four hundred five million, six hundred eighty-eight thousand, thirty-two".