409090500 has 576 divisors, whose sum is σ = 1691708928. Its totient is φ = 83980800.

The previous prime is 409090481. The next prime is 409090523. The reversal of 409090500 is 5090904.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11056482 + ... + 11056518.

Almost surely, 2^409090500 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 409090500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (845854464).

409090500 is an abundant number, since it is smaller than the sum of its proper divisors (1282618428).

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

409090500 is a wasteful number, since it uses less digits than its factorization.

409090500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 409090500 is about 20225.9857608968. The cubic root of 409090500 is about 742.3461572910.

The spelling of 409090500 in words is "four hundred nine million, ninety thousand, five hundred".