408601440 has 432 divisors, whose sum is σ = 1597089312. Its totient is φ = 94887936.

The previous prime is 408601439. The next prime is 408601451. The reversal of 408601440 is 44106804.

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, 5597244 + ... + 5597316.

It is an arithmetic number, because the mean of its divisors is an integer number (3696966).

Almost surely, 2^408601440 is an apocalyptic number.

408601440 is a gapful number since it is divisible by the number (40) 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 408601440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (798544656).

408601440 is an abundant number, since it is smaller than the sum of its proper divisors (1188487872).

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

408601440 is a wasteful number, since it uses less digits than its factorization.

408601440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 408601440 is about 20213.8922526069. The cubic root of 408601440 is about 742.0502190396.

The spelling of 408601440 in words is "four hundred eight million, six hundred one thousand, four hundred forty".