408540960 has 216 divisors, whose sum is σ = 1435015764. Its totient is φ = 105830400.

The previous prime is 408540953. The next prime is 408541039. The reversal of 408540960 is 69045804.

It can be written as a sum of positive squares in 6 ways, for example, as 364504464 + 44036496 = 19092^2 + 6636^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4044910 + ... + 4045010.

Almost surely, 2^408540960 is an apocalyptic number.

408540960 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 408540960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (717507882).

408540960 is an abundant number, since it is smaller than the sum of its proper divisors (1026474804).

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

408540960 is a wasteful number, since it uses less digits than its factorization.

408540960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 408540960 is about 20212.3961963939. The cubic root of 408540960 is about 742.0136051927.

The spelling of 408540960 in words is "four hundred eight million, five hundred forty thousand, nine hundred sixty".