405350000 has 180 divisors, whose sum is σ = 1095101784. Its totient is φ = 145200000.

The previous prime is 405349991. The next prime is 405350021. The reversal of 405350000 is 53504.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6049967 + ... + 6050033.

Almost surely, 2^405350000 is an apocalyptic number.

405350000 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 405350000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547550892).

405350000 is an abundant number, since it is smaller than the sum of its proper divisors (689751784).

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

405350000 is an equidigital number, since it uses as much as digits as its factorization.

405350000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 17.

The square root of 405350000 is about 20133.3057394954. The cubic root of 405350000 is about 740.0766903718.

The spelling of 405350000 in words is "four hundred five million, three hundred fifty thousand".