409050000 has 300 divisors, whose sum is σ = 1494443412. Its totient is φ = 108000000.

The previous prime is 409049999. The next prime is 409050011. The reversal of 409050000 is 50904.

It can be written as a sum of positive squares in 6 ways, for example, as 229704336 + 179345664 = 15156^2 + 13392^2 .

It is a tau number, because it is divible by the number of its divisors (300).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4049950 + ... + 4050050.

Almost surely, 2^409050000 is an apocalyptic number.

409050000 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 409050000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (747221706).

409050000 is an abundant number, since it is smaller than the sum of its proper divisors (1085393412).

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

409050000 is an equidigital number, since it uses as much as digits as its factorization.

409050000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 409050000 is about 20224.9845488198. The cubic root of 409050000 is about 742.3216590349.

The spelling of 409050000 in words is "four hundred nine million, fifty thousand".