408348864 has 504 divisors, whose sum is σ = 1573970944. Its totient is φ = 102643200.

The previous prime is 408348827. The next prime is 408348881. The reversal of 408348864 is 468843804.

It is a tau number, because it is divible by the number of its divisors (504).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13172529 + ... + 13172559.

Almost surely, 2^408348864 is an apocalyptic number.

408348864 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 408348864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (786985472).

408348864 is an abundant number, since it is smaller than the sum of its proper divisors (1165622080).

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

408348864 is a wasteful number, since it uses less digits than its factorization.

408348864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The square root of 408348864 is about 20207.6437023221. The cubic root of 408348864 is about 741.8972886698.

The spelling of 408348864 in words is "four hundred eight million, three hundred forty-eight thousand, eight hundred sixty-four".