408788961 has 16 divisors (see below), whose sum is σ = 631692288. Its totient is φ = 230302800.

The previous prime is 408788911. The next prime is 408789013. The reversal of 408788961 is 169887804.

It is not a de Polignac number, because 408788961 - 2⁷ = 408788833 is a prime.

It is not an unprimeable number, because it can be changed into a prime (408788911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 135595 + ... + 138576.

It is an arithmetic number, because the mean of its divisors is an integer number (39480768).

Almost surely, 2^408788961 is an apocalyptic number.

It is an amenable number.

408788961 is a deficient number, since it is larger than the sum of its proper divisors (222903327).

408788961 is a wasteful number, since it uses less digits than its factorization.

408788961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274252.

The product of its (nonzero) digits is 774144, while the sum is 51.

The square root of 408788961 is about 20218.5301394538. The cubic root of 408788961 is about 742.1637189804.

The spelling of 408788961 in words is "four hundred eight million, seven hundred eighty-eight thousand, nine hundred sixty-one".