408628264 has 32 divisors (see below), whose sum is σ = 849543840. Its totient is φ = 182692800.

The previous prime is 408628261. The next prime is 408628313. The reversal of 408628264 is 462826804.

It is not an unprimeable number, because it can be changed into a prime (408628261) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32694 + ... + 43429.

It is an arithmetic number, because the mean of its divisors is an integer number (26548245).

Almost surely, 2^408628264 is an apocalyptic number.

408628264 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

408628264 is an abundant number, since it is smaller than the sum of its proper divisors (440915576).

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

408628264 is a wasteful number, since it uses less digits than its factorization.

408628264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76201 (or 76197 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 40.

The square root of 408628264 is about 20214.5557457986. Note that the first 3 decimals coincide. The cubic root of 408628264 is about 742.0664568022.

The spelling of 408628264 in words is "four hundred eight million, six hundred twenty-eight thousand, two hundred sixty-four".