408105280 has 112 divisors (see below), whose sum is σ = 1066556160. Its totient is φ = 147507200.

The previous prime is 408105233. The next prime is 408105283. The reversal of 408105280 is 82501804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (408105283) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 946665 + ... + 947095.

Almost surely, 2^408105280 is an apocalyptic number.

408105280 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 408105280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533278080).

408105280 is an abundant number, since it is smaller than the sum of its proper divisors (658450880).

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

408105280 is a wasteful number, since it uses less digits than its factorization.

408105280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 728 (or 718 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 28.

The square root of 408105280 is about 20201.6157769620. The cubic root of 408105280 is about 741.7497430541.

The spelling of 408105280 in words is "four hundred eight million, one hundred five thousand, two hundred eighty".