408480807 has 24 divisors (see below), whose sum is σ = 647053056. Its totient is φ = 228447408.

The previous prime is 408480749. The next prime is 408480841. The reversal of 408480807 is 708084804.

It is not a de Polignac number, because 408480807 - 2²⁴ = 391703591 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (408480847) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22653 + ... + 36470.

It is an arithmetic number, because the mean of its divisors is an integer number (26960544).

Almost surely, 2^408480807 is an apocalyptic number.

408480807 is a gapful number since it is divisible by the number (47) formed by its first and last digit.

408480807 is a deficient number, since it is larger than the sum of its proper divisors (238572249).

408480807 is a wasteful number, since it uses less digits than its factorization.

408480807 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59187 (or 59180 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 39.

The square root of 408480807 is about 20210.9081191321. The cubic root of 408480807 is about 741.9771857231.

The spelling of 408480807 in words is "four hundred eight million, four hundred eighty thousand, eight hundred seven".