408504642 has 128 divisors (see below), whose sum is σ = 1050653184. Its totient is φ = 103016448.

The previous prime is 408504631. The next prime is 408504653. The reversal of 408504642 is 246405804.

It is an interprime number because it is at equal distance from previous prime (408504631) and next prime (408504653).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1474608 + ... + 1474884.

It is an arithmetic number, because the mean of its divisors is an integer number (8208228).

Almost surely, 2^408504642 is an apocalyptic number.

408504642 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 408504642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525326592).

408504642 is an abundant number, since it is smaller than the sum of its proper divisors (642148542).

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

408504642 is a wasteful number, since it uses less digits than its factorization.

408504642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412.

The product of its (nonzero) digits is 30720, while the sum is 33.

The square root of 408504642 is about 20211.4977673600. The cubic root of 408504642 is about 741.9916169864.

The spelling of 408504642 in words is "four hundred eight million, five hundred four thousand, six hundred forty-two".