411450000 has 240 divisors, whose sum is σ = 1437532992. Its totient is φ = 100800000.

The previous prime is 411449977. The next prime is 411450001. The reversal of 411450000 is 54114.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×411450000² = 338582205000000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (411450001) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1949895 + ... + 1950105.

Almost surely, 2^411450000 is an apocalyptic number.

411450000 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 411450000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718766496).

411450000 is an abundant number, since it is smaller than the sum of its proper divisors (1026082992).

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

411450000 is a wasteful number, since it uses less digits than its factorization.

411450000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 411450000 is about 20284.2303280159. The cubic root of 411450000 is about 743.7706253254.

The spelling of 411450000 in words is "four hundred eleven million, four hundred fifty thousand".