408132819 has 48 divisors (see below), whose sum is σ = 625532544. Its totient is φ = 256128000.

The previous prime is 408132817. The next prime is 408132827. The reversal of 408132819 is 918231804.

It is not a de Polignac number, because 408132819 - 2¹ = 408132817 is a prime.

It is a super-2 number, since 2×408132819² = 333144795889773522, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (408132817) 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, 1751527 + ... + 1751759.

It is an arithmetic number, because the mean of its divisors is an integer number (13031928).

Almost surely, 2^408132819 is an apocalyptic number.

408132819 is a deficient number, since it is larger than the sum of its proper divisors (217399725).

408132819 is a wasteful number, since it uses less digits than its factorization.

408132819 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 408132819 is about 20202.2973693588. The cubic root of 408132819 is about 741.7664271368.

The spelling of 408132819 in words is "four hundred eight million, one hundred thirty-two thousand, eight hundred nineteen".