405405000 has 800 divisors, whose sum is σ = 1905140160. Its totient is φ = 77760000.

The previous prime is 405404999. The next prime is 405405017. The reversal of 405405000 is 504504.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 975 × 495 × 840.

It is an unprimeable number.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 31184994 + ... + 31185006.

Almost surely, 2^405405000 is an apocalyptic number.

405405000 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 405405000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (952570080).

405405000 is an abundant number, since it is smaller than the sum of its proper divisors (1499735160).

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

405405000 is a wasteful number, since it uses less digits than its factorization.

405405000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 405405000 is about 20134.6715890774. The cubic root of 405405000 is about 740.1101613451.

Adding to 405405000 its reverse (504504), we get a palindrome (405909504).

The spelling of 405405000 in words is "four hundred five million, four hundred five thousand".