405668480 has 256 divisors, whose sum is σ = 1203240960. Its totient is φ = 127733760.

The previous prime is 405668479. The next prime is 405668491. The reversal of 405668480 is 84866504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3194177 + ... + 3194303.

It is an arithmetic number, because the mean of its divisors is an integer number (4700160).

Almost surely, 2^405668480 is an apocalyptic number.

405668480 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 405668480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601620480).

405668480 is an abundant number, since it is smaller than the sum of its proper divisors (797572480).

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

405668480 is a wasteful number, since it uses less digits than its factorization.

405668480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 41.

The square root of 405668480 is about 20141.2134689050. The cubic root of 405668480 is about 740.2704635902.

The spelling of 405668480 in words is "four hundred five million, six hundred sixty-eight thousand, four hundred eighty".