408132820 has 12 divisors (see below), whose sum is σ = 857078964. Its totient is φ = 163253120.

The previous prime is 408132817. The next prime is 408132827. The reversal of 408132820 is 28231804.

It can be written as a sum of positive squares in 2 ways, for example, as 168688144 + 239444676 = 12988^2 + 15474^2 .

It is a super-2 number, since 2×408132820² = 333144797522304800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (408132827) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10203301 + ... + 10203340.

It is an arithmetic number, because the mean of its divisors is an integer number (71423247).

Almost surely, 2^408132820 is an apocalyptic number.

It is an amenable number.

408132820 is an abundant number, since it is smaller than the sum of its proper divisors (448946144).

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

408132820 is a wasteful number, since it uses less digits than its factorization.

408132820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20406650 (or 20406648 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 408132820 is about 20202.2973941084. The cubic root of 408132820 is about 741.7664277426.

The spelling of 408132820 in words is "four hundred eight million, one hundred thirty-two thousand, eight hundred twenty".