405480000 has 280 divisors, whose sum is σ = 1396552960. Its totient is φ = 103680000.

The previous prime is 405479999. The next prime is 405480011. The reversal of 405480000 is 84504.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3719946 + ... + 3720054.

Almost surely, 2^405480000 is an apocalyptic number.

405480000 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 405480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (698276480).

405480000 is an abundant number, since it is smaller than the sum of its proper divisors (991072960).

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

405480000 is a wasteful number, since it uses less digits than its factorization.

405480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 405480000 is about 20136.5339619310. The cubic root of 405480000 is about 740.1557987032.

The spelling of 405480000 in words is "four hundred five million, four hundred eighty thousand".