408665376 has 288 divisors, whose sum is σ = 1434101760. Its totient is φ = 107785728.

The previous prime is 408665359. The next prime is 408665377. The reversal of 408665376 is 673566804.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (408665377) 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, 1800175 + ... + 1800401.

It is an arithmetic number, because the mean of its divisors is an integer number (4979520).

Almost surely, 2^408665376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 408665376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (717050880).

408665376 is an abundant number, since it is smaller than the sum of its proper divisors (1025436384).

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

408665376 is a wasteful number, since it uses less digits than its factorization.

408665376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 408665376 is about 20215.4736773591. The cubic root of 408665376 is about 742.0889211780.

It can be divided in two parts, 4086 and 65376, that multiplied together give a square (267126336 = 16344²).

The spelling of 408665376 in words is "four hundred eight million, six hundred sixty-five thousand, three hundred seventy-six".